+ 0*u - u**5 = 0. Calculate u.
-1, -1/4, 0, 1
Let o = -6 + 10. What is y in o*y**5 + 4*y**3 - 3*y**5 - y - 3*y**5 - y = 0?
-1, 0, 1
Let z(b) = b**2 - 6*b + 8. Suppose -5 = -3*d + 2*d. Let k be z(d). Determine s, given that -4*s**k + 2/3*s**4 + 8/3 + 26/3*s**2 - 8*s = 0.
1, 2
Let r(x) be the third derivative of -x**5/15 + x**4/6 + 6*x**2. Factor r(i).
-4*i*(i - 1)
Let a(g) be the second derivative of g**8/1120 + g**7/112 + g**6/30 + g**5/20 - g**3/3 + g. Let o(s) be the second derivative of a(s). Factor o(u).
3*u*(u + 1)*(u + 2)**2/2
Let k(j) be the second derivative of j**7/147 - j**6/105 - 5*j. Factor k(v).
2*v**4*(v - 1)/7
Let g(r) be the first derivative of r**6/12 - r**5/5 - 3*r**4/8 + 4*r**3/3 - r**2 + 4. Factor g(o).
o*(o - 2)*(o - 1)**2*(o + 2)/2
Let x(s) be the third derivative of s**5/330 + s**4/33 + 4*s**3/33 + 3*s**2. Suppose x(q) = 0. What is q?
-2
Let d be -2 + 1 + 20/12. Factor 2*u**3 + 0 + 4/3*u**2 - d*u.
2*u*(u + 1)*(3*u - 1)/3
Factor 5*y + y + 52*y**3 - 30*y + 12*y**2 - 3*y**4 - 46*y**3.
-3*y*(y - 2)**2*(y + 2)
Let q(p) be the third derivative of -p**8/112 + p**7/35 + p**6/10 - 2*p**5/5 + p**2 - 14. Determine z so that q(z) = 0.
-2, 0, 2
Let a be -1 - (34/(-14) + 2/(-7)). Determine l, given that 0 + 18/7*l**5 + a*l**4 - 8/7*l**2 - 22/7*l**3 + 8/7*l = 0.
-1, 0, 2/3
Let d(y) = y**2 - 6*y - 5. Let h be d(7). Factor -h - n**2 + 2*n + 2*n - 3 + 1.
-(n - 2)**2
Let b(v) be the first derivative of v**4 - 1 + 0*v**3 + 0*v**2 + 0*v + 10/3*v**6 + 18/5*v**5. Factor b(j).
2*j**3*(2*j + 1)*(5*j + 2)
Let o(s) be the third derivative of -s**5/36 - s**4/24 + s**3/9 - 2*s**2. Factor o(t).
-(t + 1)*(5*t - 2)/3
Let n(y) = -y**2 + 4*y + 6. Let c(j) = -2*j**2 + 7*j + 11. Let g(w) = -6*c(w) + 11*n(w). Find l such that g(l) = 0.
-2, 0
Let h be (11 - -1)/(18/12). Let s be (1/h)/((-3)/(-30)). Factor 0 + u - 2*u**2 + s*u**3 - 1/4*u**4.
-u*(u - 2)**2*(u - 1)/4
Let z(g) be the first derivative of -5 + 0*g**4 + 0*g**2 + 0*g + 0*g**3 + 2/5*g**5. Solve z(b) = 0.
0
Find w, given that 20/7 + 4/7*w**2 - 24/7*w = 0.
1, 5
Let r(m) be the second derivative of m**5/15 + m**4/4 + m**3/3 + m**2/2 - m. Let y(w) be the first derivative of r(w). Factor y(t).
2*(t + 1)*(2*t + 1)
Let r = 27 + -20. Let i = r - 7. What is d in -2/5*d**2 + i*d**3 + 1/5*d**4 + 1/5 + 0*d = 0?
-1, 1
Suppose 3*o = 5*o - 3*q - 18, 4*o - 4*q - 28 = 0. Let h(l) be the first derivative of -l - l**2 - 1/3*l**o - 3. Factor h(n).
-(n + 1)**2
Let f(p) be the first derivative of p**2 + p + 1/3*p**3 + 8. Factor f(r).
(r + 1)**2
Let q(x) be the third derivative of 7*x**6/160 - x**5/5 + 11*x**4/32 - x**3/4 - 2*x**2. Suppose q(j) = 0. Calculate j.
2/7, 1
Let m(u) be the first derivative of u**6/120 + 3*u**5/80 + u**4/24 + 3*u - 2. Let f(d) be the first derivative of m(d). Let f(h) = 0. What is h?
-2, -1, 0
Let -4*o + 2 + o**2 - 3*o**2 - 2*o**2 + 6*o**2 = 0. Calculate o.
1
Let s(t) be the first derivative of -t**6/3 - 2*t**5 - 7*t**4/2 + 2*t**3/3 + 8*t**2 + 8*t + 4. Determine h so that s(h) = 0.
-2, -1, 1
Let i(y) be the second derivative of -y**6/12 + 5*y**4/8 - 5*y**3/6 + 22*y. Determine r, given that i(r) = 0.
-2, 0, 1
Let i = 121 - 2903/24. Let y(h) be the third derivative of 0 + 1/84*h**7 + 0*h + 1/672*h**8 - 2*h**2 + 1/12*h**3 + 5/48*h**4 + i*h**6 + 1/12*h**5. Factor y(f).
(f + 1)**5/2
Factor -n**2 - 41*n - n**2 + 45*n.
-2*n*(n - 2)
Let 0 + 0*g - 3/2*g**3 + 1/2*g**2 = 0. What is g?
0, 1/3
Let h(m) be the third derivative of m**8/10080 - m**6/360 + m**5/15 - 2*m**2. Let r(a) be the third derivative of h(a). What is d in r(d) = 0?
-1, 1
Let k(d) = d**3 + 5*d**2 + 3*d + 6. Let b be k(-5). Let w be 6/b - (-11)/3. Find t such that -4*t**4 - 3*t**5 + t**5 - 8*t**2 + t**4 - 16*t**w - 7*t**4 = 0.
-2, -1, 0
Let t(n) be the third derivative of -n**2 + 0*n**4 + 0*n - 1/90*n**5 + 0 + 1/9*n**3. Find o, given that t(o) = 0.
-1, 1
Suppose 25 = a + 4*a. Let r(s) be the second derivative of -1/24*s**4 + 1/20*s**a - 1/60*s**6 + 0*s**3 + 0 - s + 0*s**2. Factor r(j).
-j**2*(j - 1)**2/2
Let p be (-52)/(-14) + (-11)/((-385)/10). What is t in -1/2 + t**3 + 5/2*t**2 + 1/4*t - 2*t**p - 5/4*t**5 = 0?
-1, 2/5, 1
Let p(z) be the second derivative of z**6/10 + z**5/20 - z**4/4 - z**3/6 + 22*z. Find u, given that p(u) = 0.
-1, -1/3, 0, 1
Suppose 0 = 4*k - 3 - 9. Suppose -2*j = 0, -k*g - 2 = 4*j - 11. Solve 0 + 0*w**2 + 0*w - 2/3*w**4 - 2/3*w**g = 0.
-1, 0
Let a(w) be the second derivative of w**5/10 - 7*w**4/18 + 5*w**3/9 - w**2/3 + 5*w. Solve a(c) = 0 for c.
1/3, 1
Let z(n) = -5*n**2 + 8*n - 7. Let d(b) = -6*b**2 + 9*b - 6. Let v(p) = 4*d(p) - 3*z(p). Factor v(x).
-3*(x - 1)*(3*x - 1)
Let b(o) = 7*o**5 - o**4 + 4*o**3 - 4*o**2 - 4. Let d(j) = 13*j**5 - j**4 + 7*j**3 - 7*j**2 - 7. Let s = -16 + 9. Let h(l) = s*b(l) + 4*d(l). Factor h(g).
3*g**4*(g + 1)
Let r = 44 + -43. Let w(g) be the first derivative of 4/9*g**3 + 0*g + 1/3*g**2 - 4/15*g**5 - 1/9*g**6 + 0*g**4 + r. Let w(b) = 0. Calculate b.
-1, 0, 1
Suppose -8*b + 2 = -7*b. Let r(w) be the first derivative of -4/15*w**3 + 4/5*w**b - 1 - 2/5*w + 6/25*w**5 - 2/5*w**4. Solve r(y) = 0 for y.
-1, 1/3, 1
Let n be -5*(1 + (-16)/10). Factor -2*s**n - 1 + 4*s + 2*s + 5.
-2*(s - 2)*(s + 1)**2
Let d be (-7 - -1)/3 + 2. Let y(o) be the third derivative of d*o - 1/9*o**3 + o**2 - 1/12*o**4 - 1/180*o**6 - 1/30*o**5 + 0. Factor y(i).
-2*(i + 1)**3/3
Suppose -2*p = -2*g - 4, 0 = -g - 5*p + p + 18. Factor -8/7 + 0*m + 2/7*m**3 + 6/7*m**g.
2*(m - 1)*(m + 2)**2/7
Let h(a) be the second derivative of -a**9/98280 + a**8/43680 + a**7/16380 - a**6/4680 + 5*a**4/12 - 4*a. Let f(l) be the third derivative of h(l). Factor f(n).
-2*n*(n - 1)**2*(n + 1)/13
Let p(b) be the third derivative of b**5/15 - 5*b**4/24 + b**3/6 + 10*b**2. Factor p(w).
(w - 1)*(4*w - 1)
Suppose d - 8 = -d. Let -19*b**3 - 8*b**5 - 2 - 3*b**5 + 13*b**5 - 23*b**d - b + 18*b**5 + 25*b**2 = 0. What is b?
-1, -1/4, 2/5, 1
Let u(c) be the second derivative of c**6/75 - c**4/10 + 2*c**3/15 + 33*c. Determine q, given that u(q) = 0.
-2, 0, 1
Let k = -4 + 7. Let f be (-4)/20 - k/(-5). Suppose 2/5*l - f*l**2 + 4/5 = 0. What is l?
-1, 2
Let m(a) be the second derivative of 0*a**5 + 0*a**3 + 0*a**2 + 0 - 2*a + 1/60*a**6 + 0*a**4. Factor m(k).
k**4/2
Let m = 41 - 17. Let l be 14/m + 8/(-32). Find w such that -2*w**3 + 8/3*w**2 + 2*w**5 - l - 7/3*w**4 + 0*w = 0.
-1, -1/3, 1/2, 1
Let q(w) = -w**2 - 2*w + 7*w**3 - 2*w - 5 + 3*w. Let j(k) = -2*k**3 - 2*k + 8*k**3 + 0*k**3 - 4. Let z(u) = 3*j(u) - 2*q(u). Suppose z(a) = 0. What is a?
-1, -1/2, 1
Suppose 2/11*n**2 + 0 + 2/11*n = 0. What is n?
-1, 0
Suppose -41 = i - 45. Factor 9/4*k**2 + 4*k**i + 6*k**3 + 1/4*k + 0.
k*(k + 1)*(4*k + 1)**2/4
Suppose 29 = 4*z - 5*i - 13, 0 = i + 2. Suppose w = 4*r + z, w + w = -r - 2. Suppose 1/3*v - 1/3*v**5 - 2/3*v**2 + w + 2/3*v**4 + 0*v**3 = 0. What is v?
-1, 0, 1
Let 6 + 20*n**3 - n**2 - 9*n**2 - 36*n**5 - 15*n + 31*n**5 + 4 = 0. What is n?
-2, -1, 1
Let j(k) be the second derivative of k**6/30 - k**5/5 + 5*k**4/12 - k**3/3 + 7*k. Factor j(g).
g*(g - 2)*(g - 1)**2
Suppose -4 = 6*u - 8*u. Factor 4 + 72*i**u + 34*i + 3 - 3.
2*(4*i + 1)*(9*i + 2)
Factor -1/2*w - 5/4*w**2 + 3/4 + w**3.
(w - 1)**2*(4*w + 3)/4
Determine i, given that -3/5*i**3 + 9/5*i + 6/5*i**2 + 0 = 0.
-1, 0, 3
Factor 1/2*y**5 - 1/2*y**3 + 1/2*y**2 - 1/2*y**4 + 0*y + 0.
y**2*(y - 1)**2*(y + 1)/2
Suppose -10*t**2 + t**3 + 3*t**4 + 2*t**4 - 6*t**3 + 0*t**4 = 0. What is t?
-1, 0, 2
Let w(c) = 1. Let q(r) = 2*r**2 + 4*r - 12. Let i(d) = -q(d) - 6*w(d). Suppose i(b) = 0. Calculate b.
-3, 1
Determine j so that 0*j**3 - 2/11*j**2 + 2/11*j**4 + 0*j + 0 = 0.
-1, 0, 1
Suppose 2*c - 2*c = -10*c. Let f(k) be the third derivative of 0*k + 2*k**2 + 1/660*k**6 + c*k**3 + 0*k**4 - 1/165*k**5 + 0. Factor f(x).
2*x**2*(x - 2)/11
Let p(d) be the third derivative of -d**8/1344 + d**7/280 - d**6/160 + d**5/240 + 23*d**2. Factor p(c).
-c**2*(c - 1)**3/4
Let m(u) be the first derivative of u**8/112 - 9*u**7/140 + 17*u**6/120 - u**4/2 + 4*u**3/3 - 2. Let s(g) be the third derivative of m(g). Factor s(c).
3*(c - 2)*(c - 1)**2*(5*c + 2)
Let v(q) = 13*q**3 + 19*q**2 + 5*q - 32. Let z(o) = -84*o**3 - 124*o**2 - 32*o + 208. Let p(h) = -32*v(h) - 5*z(h). Factor p(l).
4*(l - 1)*(l + 2)**2
Let g = -4 - -2. Let y be -3*g*3/9. Let 4