 + 2*o**5 + 8*o**2 + 8*o**k + 3*o**3 + 3*o**3.
2*o*(o + 1)**4
Let 2/3*d**3 + 20/3 + 34/3*d + 16/3*d**2 = 0. Calculate d.
-5, -2, -1
Solve 0 - 4/3*d - 4/3*d**4 + 4/3*d**2 + 4/3*d**3 = 0 for d.
-1, 0, 1
Suppose -a + 5*x = -25, 0*a + 3*a - 3*x - 15 = 0. Suppose a = 2*o - o. Factor -1/5*b**2 - 3/5*b**4 + 1/5*b**5 + 3/5*b**3 + 0 + o*b.
b**2*(b - 1)**3/5
Let i(m) be the third derivative of 5*m**8/336 + 9*m**7/70 + m**6/3 - 2*m**5/15 - 2*m**4 - 8*m**3/3 - 27*m**2. Factor i(z).
(z - 1)*(z + 2)**3*(5*z + 2)
Let c(v) be the third derivative of 1/60*v**4 + 1/525*v**7 - 1/300*v**6 + 0 + 3*v**2 + 0*v**3 - 1/150*v**5 + 0*v. Factor c(w).
2*w*(w - 1)**2*(w + 1)/5
Let b be (-4 + 2)/(-2 - 0). Suppose -d + 14 = 5*a, d = 3*a - 3 + b. Find g, given that 2*g**d - 16/9*g**2 - 4/3*g + 4/9*g**3 - 2/9 + 8/9*g**5 = 0.
-1, -1/4, 1
Let n(u) be the third derivative of u**5/240 + u**4/48 - u**3/8 - 35*u**2. Find h, given that n(h) = 0.
-3, 1
Let t be (-24)/9*(-9)/6. Let -y**5 - 3*y**2 + 4*y**4 + 3*y**3 - y**t - 2*y**5 = 0. Calculate y.
-1, 0, 1
Let f(s) be the third derivative of -s**8/110880 + s**6/3960 + s**5/15 - 4*s**2. Let i(a) be the third derivative of f(a). Factor i(v).
-2*(v - 1)*(v + 1)/11
Suppose 0 = g + 4*g - 20. Solve 19*k**4 - 6*k**2 - 2*k**3 - 13*k**g + 2*k - k + k = 0.
-1, 0, 1/3, 1
Let w(u) be the first derivative of u**4/36 - u**3/3 + 3*u**2/2 + 4*u - 3. Let b(k) be the first derivative of w(k). Factor b(l).
(l - 3)**2/3
Let p = -599/5 - -121. Let l = -2/691 - -1392/3455. Factor p*i**4 - 2/5*i**5 + 0 + 0*i + l*i**2 - 6/5*i**3.
-2*i**2*(i - 1)**3/5
Let p(j) be the third derivative of j**7/630 + j**6/180 + j**5/180 + 9*j**2. Find t such that p(t) = 0.
-1, 0
Let u(v) = v**3 + v**2 - v + 1. Let g(l) = 5*l**4 + 11*l**3 + 6*l**2 - 6*l + 6. Let x(q) = g(q) - 6*u(q). Factor x(r).
5*r**3*(r + 1)
Suppose -60*q = -57*q. Factor 1/2*n + q - n**2 + 1/2*n**3.
n*(n - 1)**2/2
Suppose -8*y = -3*y - 30. Let n(s) be the second derivative of 0 - s**2 - 1/15*s**y + 3*s + 0*s**3 + 0*s**5 + 1/3*s**4. Let n(z) = 0. Calculate z.
-1, 1
Let r(k) be the third derivative of 0*k**3 + 0*k**4 + 0 + 0*k - 1/420*k**7 + 0*k**5 - 3*k**2 - 1/240*k**6. Find q such that r(q) = 0.
-1, 0
Let h be (-13)/(-5) + (-12)/(-30). Let 3*i - h*i**2 - i**4 + 4*i**4 + 0*i**3 + i**3 - 4*i**3 = 0. What is i?
-1, 0, 1
Let j(u) be the third derivative of 0*u + 0*u**4 - 8*u**2 + 1/15*u**5 - 1/10*u**6 + 2/35*u**7 + 0 - 1/84*u**8 + 0*u**3. Factor j(p).
-4*p**2*(p - 1)**3
Factor 0 + 2/3*d + 2/3*d**4 + 2*d**2 + 2*d**3.
2*d*(d + 1)**3/3
Solve 27*j + 2*j**2 + 6*j**2 + 27 + j**3 + j**2 = 0 for j.
-3
Let p(q) be the first derivative of -2*q**6/105 - q**5/70 + 9*q + 8. Let g(l) be the first derivative of p(l). Factor g(b).
-2*b**3*(2*b + 1)/7
Let r(q) be the first derivative of -q**5/120 - q**4/24 - q**3/12 + 3*q**2/2 - 1. Let l(b) be the second derivative of r(b). Solve l(y) = 0.
-1
Let f be 2 - (2 - 2) - 3. Let j(u) = -1. Let b(h) = -h**3 + h - 2. Let d(z) = f*b(z) + 2*j(z). Let d(i) = 0. Calculate i.
-1, 0, 1
Let x = -8 + 10. Factor x*h + 2*h + 5 - 3*h**2 - 3*h**3 - h - 2.
-3*(h - 1)*(h + 1)**2
Let m(o) be the third derivative of -o**7/315 + o**5/45 - o**3/9 - 40*o**2. Factor m(u).
-2*(u - 1)**2*(u + 1)**2/3
Let l be 6/(-2) + 2 + 5. Suppose q = l*q - 6. Let 1/3 - t + t**q - 1/3*t**3 = 0. Calculate t.
1
Suppose -t + 115 = 112. Suppose 0*n + 0 - n**t + 0*n**2 - 1/2*n**4 = 0. Calculate n.
-2, 0
Let a(w) be the first derivative of 1/8*w**2 - 2 + 1/16*w**4 - 1/8*w**3 + w - 1/80*w**5. Let d(f) be the first derivative of a(f). Solve d(v) = 0 for v.
1
Let v be ((-24)/(-7))/((405/(-126))/(-5)). Solve 0 - v*p**5 - 2/3*p - 44/3*p**4 - 14*p**3 - 16/3*p**2 = 0 for p.
-1, -1/2, -1/4, 0
Let a(r) = -2*r - 2. Let j(l) = -l**3 + l**2 - 9*l - 11. Let k(f) = 22*a(f) - 4*j(f). Factor k(x).
4*x*(x - 2)*(x + 1)
Let i(q) be the third derivative of -1/210*q**7 + 0*q**3 + 1/60*q**5 + 1/672*q**8 - 1/48*q**4 + 0*q + 3*q**2 + 0*q**6 + 0. Factor i(w).
w*(w - 1)**3*(w + 1)/2
Suppose 13*m + 7 - 46 = 0. Let u(x) be the first derivative of -2/5*x + x**2 + 3/10*x**4 - 14/15*x**3 - m. Suppose u(t) = 0. What is t?
1/3, 1
Let q(m) be the first derivative of 0*m + 2/3*m**3 + 3 - 1/180*m**5 + 0*m**4 - 1/1080*m**6 + 0*m**2. Let v(s) be the third derivative of q(s). Factor v(n).
-n*(n + 2)/3
Let u = 67 + -65. Factor 1/5*o**u - 4/5*o + 4/5.
(o - 2)**2/5
Let b(i) be the second derivative of i**7/7 - 8*i**6/15 + 7*i**5/10 - i**4/3 - 14*i. Find d such that b(d) = 0.
0, 2/3, 1
Let r be 0 + 7 + (-3 - -1). Suppose r*x - x - 12 = 0. Let 0*z + 0*z**2 - 2/9*z**5 + 0 + 2/9*z**x + 0*z**4 = 0. Calculate z.
-1, 0, 1
Let c be (-456)/9 - (-5)/(-15). Let x be 10/12*c/(-85). Suppose x + 1/2*p**2 + p = 0. What is p?
-1
Find b such that -7*b**3 + 3*b**2 + 10*b**3 - 12 - 12*b + 3*b**2 - 3*b**2 = 0.
-2, -1, 2
Let b(w) be the second derivative of w**5/150 + w**2/2 - 4*w. Let u(p) be the first derivative of b(p). Factor u(g).
2*g**2/5
Let i = -39 - -27. Let m be 16/(-5) - (i + 8). Factor -4/5 + 14/5*l + m*l**2 - 14/5*l**3.
-2*(l - 1)*(l + 1)*(7*l - 2)/5
Let w(p) be the first derivative of -1 + 0*p + 0*p**2 + 1/4*p**4 - 1/3*p**3. Factor w(f).
f**2*(f - 1)
Suppose 3 = -3*d + 9. Let r(o) be the first derivative of d*o + 2 + 1/3*o**3 - 3/2*o**2. Factor r(h).
(h - 2)*(h - 1)
Let k = 7 + -4. Suppose k*j - g - 12 = -4, 0 = -j - 2*g - 2. Find t such that 22*t**2 + 10*t**4 + 10*t + 20*t**3 + j + 4*t**2 - 6*t**2 + 2*t**5 = 0.
-1
Let t(h) be the second derivative of h**7/273 + 2*h**6/195 - h**4/39 - h**3/39 - 2*h. Solve t(b) = 0.
-1, 0, 1
Suppose v + 3*v - 8 = 0. Let 6*n - 3*n**4 + 3 - v*n**3 - 3*n**3 - n**3 = 0. Calculate n.
-1, 1
Let y be 24/105*10*1/4. Let r = -1745 + 12239/7. Solve -y*c + 6/7*c**2 - 16/7*c**4 + 18/7*c**3 - r*c**5 + 0 = 0 for c.
-1, -2/3, 0, 1/2
Let k(r) be the third derivative of r**8/84 - 4*r**7/105 + 2*r**5/15 - r**4/6 - 4*r**2. Factor k(o).
4*o*(o - 1)**3*(o + 1)
Let h(i) be the second derivative of -i**7/42 + 2*i**6/15 - i**5/5 - 26*i. Suppose h(w) = 0. What is w?
0, 2
Let q(h) be the third derivative of -1/150*h**5 - 2*h**2 + 1/30*h**4 - 1/15*h**3 + 0*h + 0. Factor q(n).
-2*(n - 1)**2/5
Let q be ((-10)/4)/((-1)/2). Let v = -2 + q. Suppose l - v*l**2 - 2*l - l**3 + l**2 = 0. Calculate l.
-1, 0
Determine d so that -7*d - 3 + 5*d - d**2 + 3 - 1 = 0.
-1
Let i be 3/2 - 84/(-24). Let f(s) be the second derivative of 0 - 2*s - 1/60*s**4 + 0*s**2 + 0*s**3 - 1/100*s**i. Find a such that f(a) = 0.
-1, 0
Let v be (-226)/(-120) + (-19)/(1710/12). Factor -3/4*n**2 + v*n - 1/2.
-(n - 2)*(3*n - 1)/4
Let n(m) be the first derivative of -1/4*m**2 - 1/6*m**3 - 1 + m. Factor n(t).
-(t - 1)*(t + 2)/2
Let s = -5 - -12. Let k(v) be the second derivative of -1/6*v**3 + 2*v + 0*v**2 + 4/3*v**6 + 0 + 5/6*v**4 - 33/20*v**5 - 8/21*v**s. Factor k(n).
-n*(n - 1)**2*(4*n - 1)**2
Let h be (-8)/44 - 5142/(-88). Let k = h + -58. Factor 0 - 1/4*p**2 - k*p.
-p*(p + 1)/4
Let q = -3 - -7. Let r be (q/(-15))/((-2)/5). Factor 0 - r*d**3 + 0*d**2 + 0*d + 0*d**4 + 2/3*d**5.
2*d**3*(d - 1)*(d + 1)/3
Let i(q) be the third derivative of q**7/42 - q**6/24 - 4*q**2. Suppose i(t) = 0. What is t?
0, 1
Let d(k) be the third derivative of 2*k**7/35 - k**6/6 - 2*k**5/15 - 3*k**2. Suppose d(n) = 0. What is n?
-1/3, 0, 2
Factor 0*h**3 - 3*h**3 - h + 4*h**3 + 0*h.
h*(h - 1)*(h + 1)
Let b(i) be the second derivative of -7/60*i**6 + 1/24*i**4 + 1/20*i**5 + 3*i + 0*i**2 + 1/21*i**7 + 0 + 0*i**3. Factor b(x).
x**2*(x - 1)**2*(4*x + 1)/2
Let h(x) = -x**3 - 6*x**2 - 4*x - 6. Let c(b) = -b. Let i(m) = -5*c(m) - h(m). Let q(t) be the first derivative of i(t). What is u in q(u) = 0?
-3, -1
Factor 0*x - 2/3*x**3 + 0 + 10/3*x**2.
-2*x**2*(x - 5)/3
Let z = 586 + -584. Suppose -16/7*b - 4/7*b**z - 16/7 = 0. What is b?
-2
Let z(c) be the second derivative of 1/8*c**2 + 0 + 1/48*c**4 - 6*c + 1/12*c**3. Suppose z(r) = 0. Calculate r.
-1
Let s be 1/(-8) - 11/(-88). Let h(d) be the first derivative of s*d**2 + d + 4 - 1/3*d**3. Determine w so that h(w) = 0.
-1, 1
Factor j + 5/2*j**3 + 0 - 7/2*j**2.
j*(j - 1)*(5*j - 2)/2
Let j(s) = -s**3 - s**2 + s - 1. Let v(y) = 5*y**5 + 15*y**4 + y**3 - 9*y**2 - 6*y + 6. Let l(k) = 6*j(k) + v(k). Let l(c) = 0. What is c?
-3, -1, 0, 1
Let z = 0 + 0. Let u = z - -2. Factor 4 + 0*p + 0 - u*p - 2*p**2.
-