o**3 + 0 + 2/5*o**u + 0*o - 2/5*o**4.
-2*o**2*(o - 1)*(o + 1)/5
Let d(h) = -4*h**2 - 7*h. Let v(z) = 5*z**2 + 7*z. Let c(w) = 6*d(w) + 5*v(w). Determine k, given that c(k) = 0.
0, 7
Let c(m) be the second derivative of -m**10/181440 - m**9/90720 + m**8/40320 + m**7/15120 + m**4/3 - 3*m. Let t(j) be the third derivative of c(j). Factor t(o).
-o**2*(o - 1)*(o + 1)**2/6
Let i(s) be the first derivative of 4*s**5/5 + 11*s**4 + 60*s**3 + 162*s**2 + 216*s - 6. Suppose i(o) = 0. What is o?
-3, -2
Factor 7/3*q + 8/3 - 1/3*q**2.
-(q - 8)*(q + 1)/3
Suppose 3*s + 0 = -2*y + 6, -5*s = 3*y - 10. Suppose -2*h + s = -2. Factor 4*j - 2*j**2 + 2 + 3*j**2 + j**h.
2*(j + 1)**2
Suppose 4*l + 2*l + 2*l**4 - 6*l**3 + 10*l**3 + 6*l**3 + 14*l**2 = 0. What is l?
-3, -1, 0
Let t be 1/((3 + 0)/(-27)). Let c = -6 - t. Factor -d**c - d**5 + 5*d**4 - 5*d**2 - 2 + 2 + 4*d**5 - 2*d.
d*(d - 1)*(d + 1)**2*(3*d + 2)
Let q(b) = -b**2 + 1. Let m(x) = -5*x**2 + 5. Let l(k) = -m(k) + 6*q(k). Factor l(u).
-(u - 1)*(u + 1)
Let t(x) be the second derivative of 3/32*x**4 - 1/4*x**3 + x**2 + 1/40*x**5 + 0 + x. Let d(o) be the first derivative of t(o). Suppose d(b) = 0. What is b?
-2, 1/2
Let y(a) = -2*a**3 - 2*a**2 - 2*a - 2. Let b(j) = -2*j**3 - 2*j**2 - 3*j - 3. Let i = -14 + 9. Let l(h) = i*y(h) + 4*b(h). Solve l(w) = 0 for w.
-1, 1
Find s, given that 3*s**2 - 11*s**2 - 2*s**3 + 14*s**2 = 0.
0, 3
Let b(m) be the first derivative of -m**7/2940 + m**6/630 - m**5/420 + m**3/3 - 5. Let k(h) be the third derivative of b(h). Solve k(p) = 0.
0, 1
Let u be 2 + 0 + (-6 - -7). Determine b, given that 3 - b**3 - b**3 - u = 0.
0
Let w(l) be the third derivative of -2*l**7/105 + l**6/30 + l**5/5 - 5*l**4/6 + 4*l**3/3 - 38*l**2. Find q, given that w(q) = 0.
-2, 1
Factor 225*w**2 + 3 + 125*w**3 - 115*w**3 - 8*w - 37*w - 385*w**3.
-3*(5*w - 1)**3
Let d(t) = t**2 - t - 2. Let s be d(0). Let c be s/(-5)*10/2. Factor -2*z**4 + 4*z**4 - z + 2*z - c*z**2 - z**3.
z*(z - 1)*(z + 1)*(2*z - 1)
Let g(k) be the first derivative of -1 + 0*k + 1/3*k**2 + 2/27*k**3. Factor g(i).
2*i*(i + 3)/9
Suppose o - 12 = -o. Solve -o*j**2 + 6*j**5 - 9*j**5 - 3*j + 3 + 6*j**3 + 5*j**4 - 2*j**4 = 0.
-1, 1
Let u(s) = -4*s**4 - 4*s**3 + 13*s**2 + 5*s. Let d(v) = 2*v**4 + 2*v**3 - 7*v**2 - 3*v. Let n(o) = -5*d(o) - 3*u(o). Factor n(t).
2*t**2*(t - 1)*(t + 2)
Let f be 0/(-11)*-1*1. Let k(c) be the third derivative of -c**2 + 0 + f*c + 0*c**3 - 2/15*c**5 + 1/12*c**4. Factor k(l).
-2*l*(4*l - 1)
Let r(p) be the second derivative of p**4/12 - 4*p**3/3 + 8*p**2 - 4*p. Factor r(l).
(l - 4)**2
Let z(o) = o**3 - 2*o**2 + 1. Let k be z(1). Let m be -2 + k + 2 + 0. Factor 0*w**2 + 0*w + m + 0*w**4 + 1/4*w**5 - 1/4*w**3.
w**3*(w - 1)*(w + 1)/4
Let 0*a + 0*a**3 + 0*a**2 + 1/2*a**4 + 0 = 0. What is a?
0
Suppose -3*u = -2*b - 7 + 1, 4*u + 5*b + 15 = 0. Factor t**2 + 4 + 8*t + u*t**2 - 2*t**2 + 5*t**2.
4*(t + 1)**2
Suppose -2/15*y**2 + 2/5 + 4/15*y = 0. What is y?
-1, 3
Let f(x) be the third derivative of -x**8/33600 + x**7/6300 - x**6/3600 + x**4/24 - 3*x**2. Let d(a) be the second derivative of f(a). Solve d(b) = 0 for b.
0, 1
Factor -n - 15*n**3 + 5*n**4 + 2*n**2 + n**5 + 4*n**5 + 11*n - 7*n**2.
5*n*(n - 1)**2*(n + 1)*(n + 2)
Let j(o) = -4*o**4 + 20*o**3 - 52*o**2 + 44*o - 16. Let y(x) = -x**3 - x. Let b(l) = -j(l) + 4*y(l). Factor b(d).
4*(d - 2)**2*(d - 1)**2
Factor -1/4*v + 1/4*v**2 + 0.
v*(v - 1)/4
Let m(r) = 2*r**3 - 4*r**3 + 2 - 2*r**2 - 2*r + 4*r. Let s be m(-2). Factor -9 + s*a**3 + 9 + 2*a - 2*a**4 - 6*a**2.
-2*a*(a - 1)**3
Factor -307*q - 859 + 14*q**2 - 449*q + 271 - 257*q**2.
-3*(9*q + 14)**2
Let j(c) be the third derivative of -c**7/147 + c**6/35 - 2*c**5/105 + 5*c**2. Solve j(f) = 0.
0, 2/5, 2
Let v(s) be the first derivative of -1/24*s**3 - s + 1/48*s**4 + 0*s**2 - 1. Let q(b) be the first derivative of v(b). Factor q(i).
i*(i - 1)/4
Determine i so that -2*i**4 - 12*i**3 + 5*i**4 + 41*i**2 - 32*i**2 - 3*i + 3*i**3 = 0.
0, 1
Suppose -5*m + 195 = -0*m. Solve -s + 40*s**2 - m*s**2 + s**3 - 5 + 4 = 0 for s.
-1, 1
Let d(t) = 2*t**4 - 9*t**3 + 14*t**2 - 14*t - 3. Let v(u) = u + 1. Let p(f) = d(f) + 5*v(f). Factor p(c).
(c - 2)*(c - 1)**2*(2*c - 1)
Factor 15*m**3 + 0*m**3 - 3*m**3 - 4*m**4.
-4*m**3*(m - 3)
Let f(i) = i**4 + 7*i**3 + 4*i**2 - 4*i + 4. Let t(b) = -3*b**4 - 20*b**3 - 11*b**2 + 12*b - 11. Let w(x) = -11*f(x) - 4*t(x). Factor w(h).
h*(h - 1)*(h + 2)**2
Let n(i) be the third derivative of 11*i**5/45 - 2*i**4/9 - 17*i**2. Factor n(v).
4*v*(11*v - 4)/3
Let j(v) be the first derivative of -v**7/42 - v**6/15 + v**4/6 + v**3/6 - 3*v - 3. Let c(u) be the first derivative of j(u). Factor c(t).
-t*(t - 1)*(t + 1)**3
Find g, given that -46/5*g + 2/5*g**5 + 4/5*g**2 + 22/5 + 44/5*g**3 - 26/5*g**4 = 0.
-1, 1, 11
Suppose 2*o = 3*y + 4 - 6, 4*o + 4 = 3*y. Let d(f) be the second derivative of -2*f + 0*f**2 + 1/20*f**5 + y - 1/6*f**3 + 0*f**4. Solve d(m) = 0 for m.
-1, 0, 1
Factor 16/13*u + 32/13 + 2/13*u**2.
2*(u + 4)**2/13
Suppose -8*d + 3*d = -10. Let o = -7/9 - -10/9. Suppose 2/3*r - o*r**d - 1/3 = 0. What is r?
1
Let n = -276 + 842/3. Find i such that -4/3*i**2 - 6*i**3 + 0 + 0*i - n*i**4 = 0.
-1, -2/7, 0
Let z = -3179/4 - -795. Factor 0 + 0*t - 1/4*t**3 + z*t**2 + 1/4*t**5 - 1/4*t**4.
t**2*(t - 1)**2*(t + 1)/4
Let f(u) be the second derivative of -u**7/840 + u**6/60 - 3*u**5/40 - 5*u**4/12 - 3*u. Let k(q) be the third derivative of f(q). Factor k(n).
-3*(n - 3)*(n - 1)
Let k = -64 - -66. Factor -2/5*r**5 + 0 + 0*r**k + 0*r + 0*r**4 + 0*r**3.
-2*r**5/5
Let v(t) be the first derivative of -t**5/60 - t**4/12 - t**3/6 - t**2/6 + t + 3. Let f(p) be the first derivative of v(p). Factor f(g).
-(g + 1)**3/3
Let v(b) be the first derivative of b**3/3 + b**2 + 12. Factor v(p).
p*(p + 2)
Suppose 126 = -5*t + 7*t. Let d be 90/t*(-2)/(-10). Factor -2/7*q**5 + 4/7*q**3 + 2/7 - d*q - 4/7*q**2 + 2/7*q**4.
-2*(q - 1)**3*(q + 1)**2/7
Let a(h) be the second derivative of -h**6/165 + h**5/22 - h**4/11 - 4*h**3/33 + 8*h**2/11 + 33*h. Factor a(o).
-2*(o - 2)**3*(o + 1)/11
Let q(j) be the third derivative of j**7/1260 - j**6/120 + 13*j**5/360 - j**4/12 + j**3/9 - 7*j**2. Factor q(c).
(c - 2)**2*(c - 1)**2/6
Let v = -161 + 164. Factor 0 + 2/11*u + 2/11*u**v + 4/11*u**2.
2*u*(u + 1)**2/11
What is c in 1/4*c**4 - 4*c**3 + 17/4 + 4*c - 9/2*c**2 = 0?
-1, 1, 17
Suppose 4 - 18 = 2*y - 2*g, -3*g + 3 = 0. Let v be y/2 - (-33)/9. What is u in 0*u**3 - 4/3*u**2 + 0 + 4/3*u**4 + v*u - 2/3*u**5 = 0?
-1, 0, 1
Let g(y) be the third derivative of 0 + 0*y + 1/24*y**4 + 1/40*y**6 - 3*y**2 + 1/210*y**7 + 0*y**3 + 1/20*y**5. Factor g(r).
r*(r + 1)**3
Let u(m) = -10*m**2 - 720*m - 2845. Let k(g) = -g**2 - 80*g - 316. Let l(j) = -35*k(j) + 4*u(j). Solve l(y) = 0.
-8
Let t(d) be the third derivative of 0*d + 1/24*d**4 - d**2 + 1/5040*d**7 + 0 + 0*d**6 + 0*d**5 + 0*d**3. Let n(x) be the second derivative of t(x). Factor n(f).
f**2/2
Let z = 6 - 6. Suppose 0 = -5*n - 4*x + 2 - 6, z = -3*n + 3*x + 3. Suppose 0*r**2 + n - 2/9*r + 2/9*r**3 = 0. Calculate r.
-1, 0, 1
Suppose -3 - 6*a**2 - 5 + 2 + 3*a**2 + 9*a = 0. What is a?
1, 2
Suppose 2 = 4*y + 10. Let h be 6/8 - (-1)/y. Determine q so that -1/4*q + 0 + 0*q**2 + h*q**3 = 0.
-1, 0, 1
Let k = -33 - -133/4. Suppose 0*x = x. Factor -k*m**3 + 1/4*m**2 + x*m + 0.
-m**2*(m - 1)/4
Let k = -10/7 - -12/7. Suppose 0*l + 0 + k*l**5 + 2/7*l**4 + 0*l**3 + 0*l**2 = 0. Calculate l.
-1, 0
Suppose 2*g - 6*g - 5*w + 21 = 0, 5*w = -2*g + 23. Let i(r) = -3*r**2 + 3*r. Let p(q) = -q**2 + q - 1. Let s(l) = g*i(l) + 2*p(l). Determine v so that s(v) = 0.
-1, 2
Let f be (-3)/2*3*(-4)/9. Factor -2/3*g**f + 4/3 - 2/3*g.
-2*(g - 1)*(g + 2)/3
Let l be 18/10 - (-9)/45. Let -7*i + 8 - 3*i**3 - 9*i**l + 3*i - i**2 = 0. What is i?
-2, 2/3
Factor -9*t**3 + 2*t**2 + 10*t**2 + 9*t - 10*t**2 - 6 + 4*t**2.
-3*(t - 1)*(t + 1)*(3*t - 2)
Let a be (-1*1)/((-3)/15). Let g = -3 + a. Factor 3 - 3 - 2*s**3 + g*s**2 - 2*s**4 + 2*s**5.
2*s**2*(s - 1)**2*(s + 1)
Let b(s) = -2*s**3 - 10*s**2 + 16*s - 4. Let k(d) = d**2 - d. Let x(w) = -2*b(w) - 20*k(w). Suppose x(y) = 0. What is y?
-2, 1
Let c be 2 - (6/(-9) + 2). Find t, given that 26/3*t**2 + 8/3 - 8*t + c*t**4 - 4*t**3 = 0.
1, 2
Let l(p) be the second derivative of p**7/21 + p**6/5 + p**5/5 - p**4/3 - p**3 - p**2 - 6*p. L