*q**2 + 0 - 1/5*q - 6/5*q**3 - 1/5*q**s = 0. Calculate q.
0, 1
Solve -4/3 - 4/3*x + 5/3*x**3 - 1/3*x**4 + 5/3*x**2 - 1/3*x**5 = 0.
-2, -1, 1, 2
Let c = 4 + -4. Let p(b) be the first derivative of 1/7*b**2 + 0*b**3 + c*b - 1/14*b**4 - 1. Find u such that p(u) = 0.
-1, 0, 1
Suppose 3 + 27 = 6*j. Let r(n) be the third derivative of 0*n**3 - n**2 + 17/210*n**7 + 7/40*n**6 + 11/60*n**j + 0 + 0*n + 1/12*n**4 + 5/336*n**8. Factor r(g).
g*(g + 1)**3*(5*g + 2)
Let x(l) = -26*l**3 + 26*l**2 + 15*l - 15. Let r = 3 - 14. Let z(j) = -5*j**3 + 5*j**2 + 3*j - 3. Let p(o) = r*z(o) + 2*x(o). Determine s, given that p(s) = 0.
-1, 1
Determine w, given that 2/3*w + 0 + 2/3*w**2 = 0.
-1, 0
Let y(u) be the first derivative of 2/65*u**5 + 2/39*u**3 - 3/26*u**4 + 3/13*u**2 - 6 - 4/13*u. Determine z, given that y(z) = 0.
-1, 1, 2
Let o(j) be the third derivative of -j**7/315 - j**6/60 - j**5/90 + j**4/12 + 2*j**3/9 - 5*j**2. Find x, given that o(x) = 0.
-2, -1, 1
Suppose -8 = -3*c + c. Let u be ((-2)/6)/(1/(-7)). Find r, given that -2/3 - u*r**3 + 7/3*r - r**2 + 5/3*r**c = 0.
-1, 2/5, 1
Let x(v) = v**2 - 4*v - 6. Let k(y) = y + 1. Let j = 3 - 2. Let q(f) = j*x(f) + 6*k(f). Factor q(n).
n*(n + 2)
Let k(n) be the second derivative of -n**4/6 + n**2 + 5*n. Determine r, given that k(r) = 0.
-1, 1
Let w(p) be the second derivative of -p**5/160 + p**4/12 - 17*p**3/48 + 5*p**2/8 + 11*p - 3. Factor w(y).
-(y - 5)*(y - 2)*(y - 1)/8
Suppose 4*u = 2*u + 12. Let z(o) be the second derivative of -1/5*o**5 + o**2 + 0 + 2/3*o**3 + 2*o - 1/15*o**u + 0*o**4. Factor z(f).
-2*(f - 1)*(f + 1)**3
Suppose 5*k - 24 = k - 4*j, 3 = 4*k - 3*j. Let v be (16/(-42))/(4/(-6)). Factor -2*m**k + 18/7*m**2 - v*m + 0.
-2*m*(m - 1)*(7*m - 2)/7
Let w(i) be the third derivative of i**8/1680 + i**7/1680 - i**6/720 + i**3/6 - 4*i**2. Let b(u) be the first derivative of w(u). Determine d so that b(d) = 0.
-1, 0, 1/2
Factor 5 - 2*y**3 - 6*y**2 + 21*y - 19*y + 4 - 3.
-2*(y - 1)*(y + 1)*(y + 3)
Let j be 2/((-18)/(-3))*15. Let d(h) = -h + 8. Let m be d(j). What is o in -2 + 2 + 2*o + 2 - o**2 - m = 0?
1
Let o(a) be the first derivative of 5*a**6/6 + a**5 - 5*a**4/4 - 5*a**3/3 - 14. Find w such that o(w) = 0.
-1, 0, 1
Let u(y) be the first derivative of y**6/9 - 16*y**5/15 + 3*y**4 - 32*y**3/9 + 5*y**2/3 + 15. Solve u(g) = 0.
0, 1, 5
Factor 0*k**2 + 0*k + 0 - 1/5*k**3 + 2/5*k**4 - 1/5*k**5.
-k**3*(k - 1)**2/5
Let c = 249/160 + 27/32. Determine s, given that -14/5*s + c*s**2 + 4/5 = 0.
1/2, 2/3
Solve 3/4*s**5 - 3/4*s**4 + 3/4*s**2 - 3/4*s**3 + 0 + 0*s = 0 for s.
-1, 0, 1
Factor 2/11*u**4 + 0 + 0*u**3 + 0*u - 2/11*u**2.
2*u**2*(u - 1)*(u + 1)/11
Let i(l) = -11*l**2 + 6*l + 4. Let t(q) = 3*q**2 - 3*q + 22 + 2*q**2 - 24. Let b(y) = 6*i(y) + 13*t(y). Factor b(p).
-(p + 1)*(p + 2)
Determine u, given that 0 + 3*u + 9/4*u**3 + 6*u**2 = 0.
-2, -2/3, 0
Let z(c) be the third derivative of c**8/16800 - c**7/2100 + c**4/6 - 10*c**2. Let s(j) be the second derivative of z(j). Determine a, given that s(a) = 0.
0, 3
Let q = 1334 + -12002/9. Find y, given that -2/3*y + 2/3*y**3 - q + 4/9*y**2 = 0.
-1, -2/3, 1
Let s(u) be the first derivative of -3*u**4/4 - 2*u**3 - 3. Factor s(t).
-3*t**2*(t + 2)
Let s(y) be the first derivative of -1/6*y**3 + 0*y + 0*y**2 - 4 - 7/16*y**4. Factor s(l).
-l**2*(7*l + 2)/4
Let p(y) be the second derivative of y**5/150 + y**4/18 - y**3/45 - y**2/3 - 25*y + 2. Factor p(t).
2*(t - 1)*(t + 1)*(t + 5)/15
Let h(o) be the third derivative of -o**6/80 + 7*o**5/30 - 11*o**4/16 + 2*o**3/3 - 32*o**2. Factor h(x).
-(x - 8)*(x - 1)*(3*x - 1)/2
Let t(q) be the third derivative of -q**8/672 + q**7/210 + q**6/80 - q**5/30 - q**4/12 - 25*q**2. Factor t(r).
-r*(r - 2)**2*(r + 1)**2/2
Let u = 2 + 0. Let b(p) = p**2 + u - p - 2 - 4 + 5. Let g(i) = 8*i**2 - 7*i + 7. Let l(q) = -14*b(q) + 2*g(q). Find r, given that l(r) = 0.
0
Let x(m) = 5*m**2 - m. Let y be x(1). Suppose 0*w - 2/9*w**3 + 0 + 2/9*w**2 + 2/9*w**5 - 2/9*w**y = 0. Calculate w.
-1, 0, 1
Let q(n) be the second derivative of n**6/180 - n**4/36 + n**2/12 - 3*n. Factor q(r).
(r - 1)**2*(r + 1)**2/6
Let n(o) be the first derivative of -2 + 1/5*o**2 - o + 1/5*o**3 + 1/10*o**4 + 1/50*o**5. Let c(s) be the first derivative of n(s). Factor c(i).
2*(i + 1)**3/5
Suppose 3*i = 8*i - 15. Let d be i/(((-18)/(-4))/3). Suppose 3 + f - d*f - 5*f**3 - 8*f**2 - 1 = 0. Calculate f.
-1, 2/5
Let z(l) = -6*l**2 - 2*l**3 + 4 - 5*l - 3*l**3 + 4*l**3. Let b be z(-5). Factor -b*m**3 + 5*m**3 - 3*m**2 + 2*m**2.
m**2*(m - 1)
Let u(w) be the first derivative of -w**5/60 - w**4/18 - w**3/18 - 5*w - 1. Let b(v) be the first derivative of u(v). Factor b(q).
-q*(q + 1)**2/3
Suppose 14/13*n**4 + 0*n**2 + 0*n - 4/13*n**3 + 0 = 0. Calculate n.
0, 2/7
Suppose d - 8 = 3*y, 3*y - y = -3*d + 13. Factor -2*u - u**5 + 0*u**d + 3*u**5 + 4*u**4 - 4*u**2.
2*u*(u - 1)*(u + 1)**3
Suppose -6 = -0*x + 3*x. Let s be (x/(-3))/(2/6). Factor -z + s*z**3 - 3*z**2 - 3*z**3 + z**2.
-z*(z + 1)**2
Solve -80*y**2 + 0*y**5 - 7 - 45*y - 3 - 5*y**5 - 70*y**3 - 30*y**4 = 0 for y.
-2, -1
Let h(u) = -5*u + 21. Let l be h(14). Let c = 49 + l. Factor -1/3*v**3 + 0*v + c - 1/3*v**2.
-v**2*(v + 1)/3
Let n(o) be the first derivative of o**8/840 - o**7/300 + o**6/450 - o**3 - 2. Let w(j) be the third derivative of n(j). Solve w(h) = 0.
0, 2/5, 1
Suppose 0 = -5*i - 2*q + 22, -q - 20 = 4*q. Factor r**2 - 5*r + i*r + r.
r*(r + 2)
Let j(c) be the third derivative of 0*c**3 + 0*c**4 + 0*c + c**2 + 0 + 1/18*c**6 - 2/45*c**5. Factor j(y).
4*y**2*(5*y - 2)/3
Let w(x) be the first derivative of 3/2*x**2 + 4 - 2*x**3 + 3/4*x**4 + 0*x. What is k in w(k) = 0?
0, 1
Let r(m) be the third derivative of -m**5/360 - m**4/72 - m**3/36 + 31*m**2. Solve r(y) = 0 for y.
-1
Let g(v) = -6*v**4 - 5*v**3 - 10*v**2 + 11*v + 11. Let x(y) = -y**4 - y**3 - 2*y**2 + 2*y + 2. Let j(f) = 2*g(f) - 11*x(f). What is q in j(q) = 0?
-1, 0, 2
Factor 2/3*q**4 + 0 + 0*q**2 + 2/3*q**3 + 0*q.
2*q**3*(q + 1)/3
Let k = 10 + -15. Let p(n) = -3*n**5 + 4*n**4 + 2*n**3 + 5*n**2 - 5. Let z = -2 - -1. Let w(m) = m**5 - m**2 + 1. Let i(t) = k*w(t) + z*p(t). Factor i(u).
-2*u**3*(u + 1)**2
Let f(r) = -2*r - 2. Let u be f(-3). Suppose u - 10 = -3*l. Factor v**l - 3*v - 4*v + 6*v.
v*(v - 1)
Suppose -3 = 17*b - 18*b. Suppose -5*m = -4*a + 5*a - 8, 5*a + 16 = 3*m. Factor 5/2*w**m + 1/2*w**4 - w - 2*w**b + 0.
w*(w - 2)*(w - 1)**2/2
Let b(v) be the second derivative of 5*v + 1/36*v**4 + 0*v**2 + 1/15*v**5 + 0*v**3 + 0. Determine k so that b(k) = 0.
-1/4, 0
Solve 4/3 - 2/3*o**3 - 2/3*o**4 + 10/3*o + 2*o**2 = 0.
-1, 2
Let m(w) be the second derivative of -w**5/90 - w**4/18 - 2*w**3/27 - 7*w. Solve m(h) = 0 for h.
-2, -1, 0
Factor 8*t + 19 - 8*t**2 + 4*t**2 + 1 + 8*t.
-4*(t - 5)*(t + 1)
Let i = -7 + 10. Let w(g) be the second derivative of -4/9*g**i + 0 + 1/18*g**4 + g + 4/3*g**2. Factor w(l).
2*(l - 2)**2/3
Let u be 4/(-6)*7*27/(-441). Factor 0 - 6/7*r**3 + 2/7*r**4 + 6/7*r**2 - u*r.
2*r*(r - 1)**3/7
Let v = 67/261 + -1/29. Suppose -2/9*i**5 + 2/9 - v*i + 2/9*i**4 + 4/9*i**3 - 4/9*i**2 = 0. Calculate i.
-1, 1
Let d be 1430/(-260)*(0 - (-8)/(-22)). Factor 4/5*i - 4/5*i**d + 0.
-4*i*(i - 1)/5
Factor 2/5*x**5 + 0*x**3 + 0 + 4/5*x**4 - 2/5*x - 4/5*x**2.
2*x*(x - 1)*(x + 1)**3/5
Let g(u) be the third derivative of 2*u**5/15 + 7*u**4/6 + 2*u**3 + 18*u**2. Suppose g(r) = 0. What is r?
-3, -1/2
Determine h so that -1/4*h**4 - 1/2 + 7/4*h - 9/4*h**2 + 5/4*h**3 = 0.
1, 2
Let n(p) be the third derivative of -p**9/68040 + p**8/30240 + p**7/22680 + p**5/20 - 2*p**2. Let d(u) be the third derivative of n(u). Solve d(w) = 0.
-1/4, 0, 1
Suppose 2 = 5*s - 3. Find k such that 2*k**2 - s + 2*k + k - k - 3 = 0.
-2, 1
Let d(i) be the second derivative of i**7/63 - i**6/45 - i**5/30 + i**4/18 - 37*i. Solve d(p) = 0.
-1, 0, 1
Let t be (12/(-8))/(27/(-12)). What is f in t*f**4 + 0 + 4/3*f**2 + 0*f + 2*f**3 = 0?
-2, -1, 0
Factor 1 + i**2 + 4*i**2 - 4*i**2 - 3 + i.
(i - 1)*(i + 2)
Let y(b) be the first derivative of -b**6/6 + 8*b**5/15 - b**4/12 - 8*b**3/9 + 2*b**2/3 - 1. Let y(w) = 0. What is w?
-1, 0, 2/3, 1, 2
Let m be (1 + -1)/(13/(-13)). Let s = 25/14 + 19/7. Suppose -12*n**3 - 21/2*n**2 - 3*n + m - s*n**4 = 0. What is n?
-1, -2/3, 0
Suppose v = 9 - 3. Let u be (2/3)/(2/v). Suppose 1/4 + 1/4*x**u + 1/2