**2 - 2 + p + 4*g.
-2*(g - 1)**2
Let w = -44 + 529/12. Let a(d) be the first derivative of -1/3*d + 1/9*d**3 - 3 - 1/6*d**2 + w*d**4. Factor a(t).
(t - 1)*(t + 1)**2/3
Let j(d) be the second derivative of d**8/560 + d**7/140 + d**6/120 + 2*d**3/3 - 2*d. Let t(h) be the second derivative of j(h). Find o, given that t(o) = 0.
-1, 0
Let h be 196/(-294) - 1/((-1)/1). Factor -h*l**2 + 0 + 2/3*l.
-l*(l - 2)/3
Let p(c) be the third derivative of c**9/756 - c**8/210 + c**7/210 - c**3 + 8*c**2. Let a(g) be the first derivative of p(g). Factor a(s).
4*s**3*(s - 1)**2
Let z(p) be the second derivative of p**8/6720 - p**6/720 - p**4/2 - 3*p. Let y(h) be the third derivative of z(h). Find v, given that y(v) = 0.
-1, 0, 1
Let w be -2 - -1 - (-5645)/1020. Let i = w - -9/68. Factor -10/3*j**2 - i*j - 4/3.
-2*(j + 1)*(5*j + 2)/3
Factor 0*j**2 + 1/3*j**3 + 1/3*j**4 + 0 + 0*j.
j**3*(j + 1)/3
Let q = -30549/72149 + -17/937. Let b = 8/11 + q. Find r, given that -6/7*r**3 + 6/7*r**2 - b*r + 2/7*r**4 + 0 = 0.
0, 1
Let s(t) be the third derivative of -t**5/30 - t**4 - 12*t**3 - 30*t**2. Factor s(v).
-2*(v + 6)**2
Let w(g) be the first derivative of 0*g + 1/10*g**2 - 2 + 1/15*g**3. Solve w(m) = 0.
-1, 0
Suppose -8*u - 14 = -15*u. Factor 4/11*g**3 - 2/11*g - 2/11*g**5 + 0*g**u + 0 + 0*g**4.
-2*g*(g - 1)**2*(g + 1)**2/11
Let w(p) be the second derivative of p**4/20 + p**3/5 - 24*p. Factor w(j).
3*j*(j + 2)/5
Suppose -3*u + 3*t + 1 = -17, 4*t = -5*u - 6. Let y be u + 1*(3 + -3). What is w in 2/3*w + 1/3*w**y + 1/3 = 0?
-1
Let n(w) be the first derivative of -w**8/2520 + w**7/1260 + w**6/540 - w**5/180 - w**3 - 7. Let o(z) be the third derivative of n(z). Factor o(h).
-2*h*(h - 1)**2*(h + 1)/3
Let m be (-6)/9 - ((-5)/3 - 0). Factor -h**2 - 1/2*h**3 + 1/2*h + m.
-(h - 1)*(h + 1)*(h + 2)/2
Factor 0*c + 1/2*c**2 - 1/2.
(c - 1)*(c + 1)/2
Let z(f) be the first derivative of -4*f**3/5 - 3*f**2/10 + 20. Factor z(u).
-3*u*(4*u + 1)/5
Let i(x) be the third derivative of x**6/1080 + x**3/2 + 2*x**2. Let w(j) be the first derivative of i(j). Solve w(n) = 0.
0
Let f = -5 + 20. Suppose i + f = 5*q, q - i - 2 - 5 = 0. Factor 0*j**2 + q*j + 13 + j**2 - 12.
(j + 1)**2
Suppose -5*c + 5 = -5*i, 4*c + 9 = 3*i + 5*c. Find p, given that -2/7*p**5 + 0*p**i + 4/7*p**4 + 0*p - 2/7*p**3 + 0 = 0.
0, 1
Let f(j) = -j**2 - 5*j - 3. Let q be f(-3). Let t be (-1)/((q - 0)/(-6)). Factor 2/3*p + 4/3 - t*p**2.
-2*(p - 1)*(3*p + 2)/3
Let m(n) = -4 + 4*n**2 - 2*n - 5*n**2 + 3*n + 2. Let i(f) = -5*f + 4. Let u(k) = 6*k - 5. Let h(r) = -5*i(r) - 4*u(r). Let p(w) = 2*h(w) + m(w). Factor p(c).
-(c - 2)*(c - 1)
Let s(f) be the first derivative of 2*f**3/27 - 8*f**2/9 + 32*f/9 - 8. Find m such that s(m) = 0.
4
Let p(w) = w**4 + 22*w**3 + w**2 - 72*w - 44. Let u(x) = -2*x**4 - 65*x**3 - 2*x**2 + 216*x + 133. Let c(d) = 11*p(d) + 4*u(d). Factor c(l).
3*(l - 4)**2*(l + 1)**2
Determine h so that -2/5*h**3 - 14/5*h**2 + 0 - 12/5*h = 0.
-6, -1, 0
Find n such that -52/3*n - 338/3 - 2/3*n**2 = 0.
-13
Let p be (4 - (4 + 1)) + 14/10. Determine j, given that -p*j - 2/5*j**3 + 0 + 4/5*j**2 = 0.
0, 1
Let d be 1497/(-540) + (-6)/(-27). Let o = 33/10 + d. Factor o*m - 1/4*m**2 - 3/4*m**3 - 1/4*m**4 + 1/2.
-(m - 1)*(m + 1)**2*(m + 2)/4
Let p(a) be the first derivative of 3 + 1/30*a**5 + 1/18*a**4 + 0*a**2 - 1/45*a**6 + 4*a - 1/9*a**3. Let h(g) be the first derivative of p(g). Factor h(w).
-2*w*(w - 1)**2*(w + 1)/3
Let b(r) be the second derivative of -r**4/36 - r**3/18 + 2*r. Find v such that b(v) = 0.
-1, 0
Let m be 0/(-2) - (-17 - -2). Suppose -m = j - 6*j. Factor 3*x**4 + 4*x**2 + 5*x**2 - j*x**2 + 11*x**3.
x**2*(x + 3)*(3*x + 2)
Determine v, given that 4/5*v**4 + 4/5*v**2 - 1/5*v**5 + 0 - 1/5*v - 6/5*v**3 = 0.
0, 1
Let q(z) be the first derivative of -z**3/21 - z**2/7 - z/7 - 7. Factor q(n).
-(n + 1)**2/7
Let z(u) be the second derivative of u**6/6 - 5*u**4/12 + 15*u. Determine h so that z(h) = 0.
-1, 0, 1
Find v, given that -272 + 272 + 2*v**3 + 10*v**2 + 6*v - 2*v**4 = 0.
-1, 0, 3
Let s(w) = w**2 + 4*w + 3. Let i be s(-5). Factor 8*h**3 - 4 + i - 2*h**4 - 6 + 8*h - 12*h**2.
-2*(h - 1)**4
Let c = 16/15 + -4/15. Factor -c*r**3 + 0*r - 2*r**4 + 0 - 6/5*r**5 + 0*r**2.
-2*r**3*(r + 1)*(3*r + 2)/5
Let l be ((-18)/(-7))/((-1)/(-7)). Let r be 28/6 + (-12)/l. Factor n**5 - 9*n + 3 - 4*n**5 + 6*n**2 + 6*n**5 - 9*n**r + 6*n**3.
3*(n - 1)**4*(n + 1)
Let o(c) be the third derivative of c**9/241920 - c**8/80640 + c**5/15 - 4*c**2. Let u(z) be the third derivative of o(z). Factor u(k).
k**2*(k - 1)/4
Let v(j) be the first derivative of j**5/4 + 7*j**4/16 - j**3/4 - 7*j**2/8 - j/2 - 5. Factor v(x).
(x - 1)*(x + 1)**2*(5*x + 2)/4
Let q be 187/66 - (-2 + (-3)/(-2)). Factor -q*u + 2 + 4/3*u**2.
2*(u - 1)*(2*u - 3)/3
Let h(t) be the second derivative of t**6/10 - 9*t**5/20 + 3*t**4/4 - t**3/2 + 14*t. Find i such that h(i) = 0.
0, 1
Let h be ((-6)/12)/((-1)/(-2)). Let n(x) = -x + 3*x - x**2 - x. Let i(l) = -l**2 + l. Let p(b) = h*i(b) + 4*n(b). Let p(v) = 0. Calculate v.
0, 1
Let v(o) = -9*o**2 + 6*o - 3. Let y(a) = -8*a**2 + 5*a - 2. Suppose -3*u = 2*i - 18, -12 = 2*i - 3*i - 3*u. Let p(w) = i*y(w) - 5*v(w). Factor p(f).
-3*(f - 1)*(f + 1)
Solve 3/7*r**4 + 48/7*r**2 - 20/7*r**3 - 48/7*r + 16/7 = 0.
2/3, 2
Let f = -55 - -55. Let y(u) be the third derivative of 2*u**2 - 1/180*u**6 + 0*u**7 + 0*u + f*u**5 + 0*u**4 + 1/504*u**8 + 0*u**3 + 0. Factor y(d).
2*d**3*(d - 1)*(d + 1)/3
Let p(a) be the second derivative of -a**7/6720 + a**6/640 - a**5/160 - a**4/2 - 8*a. Let b(r) be the third derivative of p(r). Let b(s) = 0. Calculate s.
1, 2
Determine o, given that 12*o + 2*o**2 - 2*o**2 + 4*o**2 = 0.
-3, 0
Let z(w) be the first derivative of -1/10*w**4 + 1/5*w**2 + 2/15*w**3 + 2 - 2/5*w. Factor z(o).
-2*(o - 1)**2*(o + 1)/5
Suppose 41*q = 28*q. Factor 0*u + q*u**3 + 2/3*u**4 - 2/3*u**2 + 0.
2*u**2*(u - 1)*(u + 1)/3
Let t(m) be the third derivative of -m**7/12600 + m**6/3600 - m**4/8 - 3*m**2. Let c(o) be the second derivative of t(o). Let c(q) = 0. Calculate q.
0, 1
Factor 13/9*v - 14/9 + 1/9*v**2.
(v - 1)*(v + 14)/9
Determine r, given that 0 + 0*r + 0*r**3 - 1/6*r**2 + 1/6*r**4 = 0.
-1, 0, 1
Let c be (-3)/((-12 - -15) + (-18)/4). Let h(o) be the first derivative of 0*o - 3 - 4/25*o**5 + 0*o**c + 1/10*o**4 + 0*o**3 - 1/5*o**6. What is s in h(s) = 0?
-1, 0, 1/3
Suppose -5*h - 6 = 4. Let a be (h/(-18))/((-3)/(-6)). Factor 4/9*c - a - 2/9*c**2.
-2*(c - 1)**2/9
Suppose 0 = -0*w - 2*w + 6. Factor w*r - r**2 + 3*r**2 - 2*r + r.
2*r*(r + 1)
Factor -s + s**3 + 4/3 - 5/3*s**2 + 1/3*s**4.
(s - 1)**2*(s + 1)*(s + 4)/3
Let d(j) be the first derivative of -j**6/60 - j**5/10 - j**4/4 - j**3/3 - 2*j**2 + 3. Let p(h) be the second derivative of d(h). Factor p(g).
-2*(g + 1)**3
Let b be 76/(-95)*(-10)/12. Suppose -4/9*m**2 - b + 14/9*m = 0. What is m?
1/2, 3
Find x, given that -131*x**3 - 131*x**3 - x**5 + 263*x**3 = 0.
-1, 0, 1
Let h be (-552)/(-20) + (-4)/(-10). Let q be (-12)/42 - (-22)/h. Determine p so that 0*p**2 - 3/2*p**3 + 0 + 2*p - q*p**4 = 0.
-2, 0, 1
Let d(z) be the first derivative of -z**6/30 - z**5/25 + z**4/4 + z**3/15 - 4*z**2/5 + 4*z/5 + 19. Factor d(v).
-(v - 1)**3*(v + 2)**2/5
Let u = -295/4 - -74. Let w(f) be the second derivative of 1/6*f**3 - f + 3/20*f**5 - 1/30*f**6 + 0*f**2 + 0 - u*f**4. Factor w(d).
-d*(d - 1)**3
Factor 686*d + 14*d**3 + 1/2*d**4 + 147*d**2 + 2401/2.
(d + 7)**4/2
Let n(u) = 2*u**2 + 10*u + 26. Let v(i) = i + 1. Let o(k) = -n(k) - 6*v(k). Factor o(m).
-2*(m + 4)**2
Let k(j) = -4*j**3 + 8*j**2 + 4*j - 16. Let c(r) = -12*r**3 + 25*r**2 + 11*r - 48. Let y(p) = -4*c(p) + 11*k(p). Factor y(d).
4*(d - 2)**2*(d + 1)
Let a(p) be the second derivative of -p**2 + 1/30*p**5 + 1/24*p**4 + 0 + 0*p**3 + 1/120*p**6 + 3*p. Let w(b) be the first derivative of a(b). Factor w(k).
k*(k + 1)**2
Let b(d) be the second derivative of d**4/84 + d**3/42 - 5*d. Factor b(u).
u*(u + 1)/7
Factor -1/2*w**2 + w + 0 - 1/2*w**3.
-w*(w - 1)*(w + 2)/2
Let k(l) be the second derivative of -l**7/280 - l**3/6 - 6*l. Let o(h) be the second derivative of k(h). Factor o(a).
-3*a**3
Let p(y) = -4*y + 44. Let q be p(10). Determine o so that -2/5*o**q - 2/5*o**3 + 0 + 2/5*o**5 + 2/5*o**2 + 0*o = 0.
-1, 0, 1
Find p such that -12/5*p**2 + 4*p + 0 = 0.
0, 5/3
Let f(o)