17*h**3 + 8*h**5 + h + 7*h**2 + u*h**5 - 11*h**5 + 4*h**5 = 0 for h.
-1, -1/2, -1/3, 0
Let y(f) be the second derivative of -1/15*f**5 - 1/3*f**2 - 1/63*f**7 + 1/3*f**3 + 1/15*f**6 - 2*f - 1/9*f**4 + 0. Factor y(h).
-2*(h - 1)**4*(h + 1)/3
Suppose 0 = -0*y - 3*y + y. Let p(o) be the first derivative of 1/15*o**3 + 2 - 1/10*o**2 + y*o. Factor p(r).
r*(r - 1)/5
Let y(l) be the first derivative of l**6/12 - l**4/8 + 1. Solve y(u) = 0.
-1, 0, 1
Suppose 3 = 5*n - 2. Factor 3 + 3*d + d - 2*d**2 + 3*d**2 + n.
(d + 2)**2
Let b be 4/(-160)*2*-6. Let u(h) be the second derivative of -h - b*h**5 + 0 - 7/3*h**3 + 2*h**2 + 4/3*h**4. Solve u(v) = 0.
2/3, 1
Let u(v) be the first derivative of -4*v**6/3 - 12*v**5/5 + 7*v**4/2 + 7*v**3/3 - 9*v**2/2 + 2*v + 21. What is o in u(o) = 0?
-2, -1, 1/2
Suppose -2*d + 12 = 2*f, 2*d = 4*f - 1 - 5. Suppose f = -4*p + 15. Suppose 3*m - 4*m**p - 4 + 5 - 2 = 0. Calculate m.
-1, 1/2
Let f(k) = 9*k**2 + 5*k - 4. Let x = -2 - -8. Let r(n) = n + 1. Let p be r(x). Let b(s) = 5*s**2 + 3*s - 2. Let i(h) = p*b(h) - 4*f(h). Factor i(y).
-(y - 2)*(y + 1)
Let y(s) be the first derivative of -s**3 + 3/4*s**4 + 5 - 3*s**2 + 0*s. Suppose y(t) = 0. What is t?
-1, 0, 2
Let z(c) be the second derivative of -c**6/6 - 3*c**5/4 - 5*c**4/6 + 25*c. Solve z(t) = 0 for t.
-2, -1, 0
Let k = 0 - -4. Suppose 4*n**2 - 6 - k + 4*n + 2 = 0. Calculate n.
-2, 1
Let x(b) be the second derivative of b**6/15 + b**5/5 + b**4/6 - 7*b. Determine a so that x(a) = 0.
-1, 0
Let p be (-1 + 3 - 1)*2. Suppose -3*z - 3*y = z + 15, -4*z + p*y = -10. Factor -4/3*q**2 + 2/3*q**5 - 2/3*q + 4/3*q**4 + 0*q**3 + z.
2*q*(q - 1)*(q + 1)**3/3
Let q(t) be the third derivative of -t**8/336 + t**7/210 + 3*t**6/40 + 11*t**5/60 + t**4/6 - 4*t**2 + 10*t. Let q(d) = 0. What is d?
-1, 0, 4
Let v be (-5 - (-1 - 1))*-1. Factor 2*i**4 - 3*i - 2*i**2 + 8*i**2 + 5*i + 6*i**v.
2*i*(i + 1)**3
Let i(v) be the second derivative of 0*v**3 + 0 + 0*v**2 + 1/135*v**6 - 1/90*v**5 + 1/189*v**7 + 6*v - 1/54*v**4. Factor i(f).
2*f**2*(f - 1)*(f + 1)**2/9
Suppose -3*x + 0 = 4*h + 3, 0 = 2*h - 4*x - 4. Determine c, given that 0 - 2/3*c**3 + 2/3*c**4 + h*c + 2/3*c**5 - 2/3*c**2 = 0.
-1, 0, 1
Let p be (2/(-2))/(12/(-48)). Factor -4*d**p + 3*d**4 + 2*d**5 - 3*d**5.
-d**4*(d + 1)
Let k(j) = -2*j**5 - 8*j**4 - 12*j**3 - 5*j**2 - 2*j - 3. Suppose b + 1 - 2 = 0. Let v(c) = c**2 - 1. Let x(a) = b*k(a) - 3*v(a). Suppose x(w) = 0. What is w?
-1, 0
Factor 8/7*l**2 + 6*l**4 + 0*l - 32/7*l**3 - 18/7*l**5 + 0.
-2*l**2*(l - 1)*(3*l - 2)**2/7
Let c(p) be the second derivative of p**7/1260 + p**6/360 + p**4/12 + 3*p. Let v(n) be the third derivative of c(n). Factor v(q).
2*q*(q + 1)
Let j be 0/(-20) + 1*4. Let w(x) be the first derivative of 0*x - 1/16*x**j + 0*x**3 - 1 + 1/20*x**5 + 0*x**2. Suppose w(k) = 0. What is k?
0, 1
Let a(h) be the second derivative of 2*h**6/135 + h**5/15 - 4*h**4/27 + 27*h. Find m, given that a(m) = 0.
-4, 0, 1
Let j(b) be the third derivative of 0*b + 0*b**3 - 1/30*b**6 + 1/15*b**5 + 2*b**2 + 0 + 1/3*b**4. Factor j(s).
-4*s*(s - 2)*(s + 1)
Let p(v) = v**3 + 6*v**2 + 6*v + 8. Let x be p(-5). Let w(q) be the first derivative of 1/7*q**2 + x + 2/21*q**3 + 0*q. Factor w(o).
2*o*(o + 1)/7
Let y(j) be the first derivative of -3*j**4/4 + 2*j**3/3 + j**2 + j + 4. Let w be y(-1). Factor 2/3*l**w + 2/3 + 0*l**3 - 4/3*l**2 + 0*l.
2*(l - 1)**2*(l + 1)**2/3
Let t(y) = y**2 - 5*y + 5. Let v be t(5). Factor -7*w**5 + 5*w**4 - 3*w**4 + v*w**5.
-2*w**4*(w - 1)
Suppose 0 = -4*i - p + 5*p - 220, -i = 2*p + 70. Let g be 8/i*(-3)/2. Suppose g*u**4 - 4/5*u + 2/5*u**3 - 3/5*u**2 + 4/5 = 0. Calculate u.
-2, 1
Find z, given that -2/3*z + 0 + 5/3*z**2 = 0.
0, 2/5
Factor -i**2 + 32 - 32 + i.
-i*(i - 1)
Let z be 49/21 + 1/(-3). Suppose -3*m = -z*m. Solve m*s - 2/3*s**2 + 0 = 0 for s.
0
Let q(b) be the second derivative of b**6/80 - 3*b**5/40 + b**3 - 3*b**2 - 19*b. Suppose q(f) = 0. Calculate f.
-2, 2
Let u(x) = -x**5 - x**4 + x**3 + x**2. Let s(v) = -3*v**5 - 5*v**4 + 2*v**3 + 6*v**2 + v - 1. Let g(n) = -s(n) + 4*u(n). Factor g(j).
-(j - 1)**3*(j + 1)**2
Let o(u) be the second derivative of -u**7/126 - u**6/18 - 3*u**5/20 - 7*u**4/36 - u**3/9 - 20*u. Determine s, given that o(s) = 0.
-2, -1, 0
Let s = -144/15863 + 1338394/47589. Let t = s + 132/29. Find o, given that 0 + t*o**5 - 154/3*o**4 - 16/3*o + 104/3*o**2 - 44*o**3 = 0.
-1, 0, 2/7, 2
Let d(h) = 4*h**2 + h**2 + 3*h**2 + 12 - 10*h. Let l be 6/(-16) - 66/(-48). Let b(f) = -f**2 + f - 1. Let t(a) = l*d(a) + 10*b(a). Factor t(x).
-2*(x - 1)*(x + 1)
Let i(v) = -v**2 - v - 1. Let f(a) = 2*a**3 - a**2 - 7*a - 9. Let o(q) = -f(q) + 5*i(q). Factor o(m).
-2*(m - 1)*(m + 1)*(m + 2)
Let f(g) be the second derivative of -g**7/42 + g**6/15 + g**5/5 - g**4/6 - g**3/2 + 3*g + 6. Factor f(k).
-k*(k - 3)*(k - 1)*(k + 1)**2
Let g(t) = t**3 - 7*t**2 + 9*t + 2. Let f be g(7). Factor 63*n**2 + 5 - f*n**2 - 3.
-2*(n - 1)*(n + 1)
Let z(x) be the third derivative of 0 - 1/660*x**6 + 0*x + 6*x**2 - 1/165*x**5 - 1/132*x**4 + 0*x**3. Factor z(v).
-2*v*(v + 1)**2/11
Let p = -1 + 3. Find q, given that 4*q**4 + 2*q + 4*q**p + 9*q**3 + q + 5*q**2 - q**4 = 0.
-1, 0
Let u(k) = 3*k**3 - 3*k**2 - 13*k - 11. Let y(c) = -9*c**3 + 9*c**2 + 38*c + 34. Let w(j) = 7*u(j) + 2*y(j). Factor w(g).
3*(g - 3)*(g + 1)**2
Suppose 2*u = 2*k - 25 + 7, -5*k - 2*u + 45 = 0. Let s = k + -6. Factor -2 - 3*a + a**s + 2 + 1 + 1.
(a - 1)**2*(a + 2)
Suppose 5*i - 37/4*i**2 - 1 + 8*i**3 + 1/2*i**5 - 13/4*i**4 = 0. Calculate i.
1/2, 1, 2
Let r be (-4)/22 - (-114)/22. Suppose -3*m = -r*g + 10, 3*m - 2 = -g - 0*m. Factor -1/4*i**4 + 0 + 1/4*i**g + 1/4*i - 1/4*i**3.
-i*(i - 1)*(i + 1)**2/4
Let c(n) be the third derivative of n**8/840 - n**7/420 - 5*n**3/6 - 6*n**2. Let f(x) be the first derivative of c(x). Solve f(q) = 0.
0, 1
Factor 2*p - 2*p**2 - 2*p**3 + 33*p**4 - 2 - 31*p**4 + 2.
2*p*(p - 1)**2*(p + 1)
Let d(h) be the third derivative of -1/15*h**5 - 1/336*h**8 - 1/24*h**4 + 0*h - 1/20*h**6 + 0 + 0*h**3 + h**2 - 2/105*h**7. Factor d(s).
-s*(s + 1)**4
Let t(m) be the first derivative of -1/18*m**4 + 0*m**2 + 2*m - 1/30*m**5 + 2/9*m**3 + 2. Let w(s) be the first derivative of t(s). Factor w(k).
-2*k*(k - 1)*(k + 2)/3
Let s(b) be the first derivative of b**6/360 - b**4/24 - 2*b**3/3 + 3. Let a(j) be the third derivative of s(j). Solve a(w) = 0 for w.
-1, 1
Let o(u) = u**3 - 3*u**2. Let r be o(3). Let m(j) be the third derivative of -4/15*j**3 - 1/150*j**5 + 1/15*j**4 + 0*j + r - 2*j**2. Factor m(c).
-2*(c - 2)**2/5
Let l(x) = 16*x**2 - 25*x + 15. Let z(q) = -16*q**2 + 26*q - 14. Let m(h) = -2*l(h) - 3*z(h). Factor m(g).
4*(g - 1)*(4*g - 3)
Determine g, given that 0*g + 0 - 3/11*g**3 - 2/11*g**2 - 1/11*g**4 = 0.
-2, -1, 0
Suppose 16 + 20*z + 5*z**2 - 43*z - 7*z + 9 = 0. What is z?
1, 5
What is k in -2*k - 5*k**2 - 2*k**3 + 9*k**2 - 7 + 3 + 4*k**3 = 0?
-2, -1, 1
Let y(m) be the first derivative of 1 + 0*m - 1/12*m**4 + 3/2*m**2 + 0*m**5 + 0*m**3 + 1/60*m**6. Let d(h) be the second derivative of y(h). Factor d(b).
2*b*(b - 1)*(b + 1)
Let v be 4 - ((-20)/(-14) - (-24)/42). What is i in 3/2*i**v + 1/2 + 1/2*i**3 + 3/2*i = 0?
-1
Let n(v) = v**3 + v**2 + v. Let r(j) = 57*j**3 - 10*j**2 - 2*j. Let l(k) = -6*n(k) + 3*r(k). Solve l(z) = 0 for z.
-2/11, 0, 2/5
Let v = 13/14 - 3/7. Let f be (0 - -1) + (-17)/34. What is x in -f*x + v*x**2 - 1 = 0?
-1, 2
Let s = 5 - 1. Let m(c) = c**2 - c - 1. Let j(l) = 2*l**2 - 10*l - 8. Let n(u) = s*m(u) - j(u). Determine q, given that n(q) = 0.
-2, -1
What is i in 2/11*i**5 - 10/11*i**4 + 20/11*i**3 - 2/11 - 20/11*i**2 + 10/11*i = 0?
1
Let r(q) be the first derivative of 0*q + 0*q**2 + 5 + 2/3*q**3 + 1/2*q**4. Suppose r(l) = 0. Calculate l.
-1, 0
Let k(d) = -6*d**2. Let h(p) = -17*p**2. Let u(r) = 4*h(r) - 11*k(r). Let u(f) = 0. Calculate f.
0
Let y be (-4)/(-1) - (-21)/((-84)/16). Determine s so that 0 + y*s**2 - 1/2*s + 1/2*s**3 = 0.
-1, 0, 1
Factor -20/19*i + 2/19*i**2 + 50/19.
2*(i - 5)**2/19
Let k = -926/3 - -310. Suppose -k - 2/3*d**2 + 2*d = 0. What is d?
1, 2
Suppose -7*d - 10 = -12*d - 3*p, -2*p + 2 = d. Let y(n) be the first derivative of 4/3*n + 1/9*n**3 + 2/3*n**2 + d. Factor y(c).
(c + 2)**2/3
Let u(t) be the third derivative of t**6/3060 + t**5/510 + t**4/204 + t**3/2 + 7*t**2. Let z