3*z**2 + 1/12*z**6 + 0*z**3 - 1/6*z**4 + m*z + 7/30*z**5 - 4/105*z**7 + 0. Factor f(r).
-2*r*(r - 2)*(r + 1)*(4*r - 1)
Let i(z) = 4*z**2 - 17*z - 5. Let u(d) = d**2 - 4*d - 1. Let n(g) = -4*i(g) + 18*u(g). What is h in n(h) = 0?
1
Suppose -5*v - 1 = 3*x - 27, 2 = -3*x + 2*v. Suppose 0*y - 5 = -c + y, 0 = x*c - 4*y - 16. Let -4*o**2 - 1 + 5*o**2 + 2*o - 2*o**c = 0. What is o?
1
Let x = 0 - -3. Suppose 2*k**3 - k - 2*k + 1 + 3*k - x*k**2 = 0. What is k?
-1/2, 1
Let l(r) be the first derivative of r**4/6 - 8*r**3/27 + r**2/9 + 3. Find t such that l(t) = 0.
0, 1/3, 1
Let a(j) = j**3 - 4*j**2 - 5*j + 2. Let m be a(5). Suppose 0 = m*f + 5 - 19. Factor 2*k + 7*k**2 + 3*k**3 + f*k**3 - 3*k**3 - 2*k**3.
k*(k + 1)*(5*k + 2)
Let j(k) be the third derivative of -k**6/780 + k**4/52 + 2*k**3/39 + 11*k**2. Factor j(n).
-2*(n - 2)*(n + 1)**2/13
Suppose 8 = -27*x + 31*x. Factor -2/5 + 2/5*j**x + 0*j.
2*(j - 1)*(j + 1)/5
Let i(l) = l**2 + l - 8. Let d be i(-4). Factor 0*t**2 + 0 + 1/2*t**d + 0*t + 1/2*t**3.
t**3*(t + 1)/2
Let t(p) be the second derivative of p**5/130 + p**4/78 - p**3/39 - p**2/13 - 16*p. Find k, given that t(k) = 0.
-1, 1
Let l(o) = -3*o**2 - 12*o - 27. Let x(u) = -u + 4*u - 4*u. Let m(h) = l(h) + 6*x(h). Find t, given that m(t) = 0.
-3
Let h(l) = -12*l + 14. Let p be h(1). Let z(k) be the first derivative of p - 1/5*k**2 + 2/15*k**3 + 0*k. Find r, given that z(r) = 0.
0, 1
Suppose -7*h - 18 = -13*h. Solve 1/4*r - 1/4*r**2 + 1/4 - 1/4*r**h = 0.
-1, 1
Find t, given that -t**2 - 5/7*t**4 + 1/7*t**5 + 9/7*t**3 + 0 + 2/7*t = 0.
0, 1, 2
Find c such that 2*c**2 + 28*c + 3*c**2 + 4*c**2 - 7*c**2 = 0.
-14, 0
Let 3/2*s**2 + 0*s + 9/2*s**3 - 9/2*s**5 - 3/2*s**4 + 0 = 0. What is s?
-1, -1/3, 0, 1
Let n(d) = -d - 4. Let p be n(-5). Let h = 5 - p. Let h + 2*r + r**2 - 4 - 5*r**2 + 2*r**3 = 0. Calculate r.
0, 1
Let x(l) = -l - 1. Let f(g) = -2*g**2 + 3*g + 1. Suppose 1 = i + 2, 0 = -4*c + 4*i. Let v(z) = c*x(z) - f(z). Solve v(a) = 0 for a.
0, 1
Let c(k) = -k**2 - 11*k - 8. Let s be c(-10). Let -2/3*i**s + 0 + 2/3*i = 0. Calculate i.
0, 1
Let m(p) = 3*p**3 + 3*p**2. Let g(j) = 2*j**3 + 2*j**2. Let h(t) = -5*g(t) + 3*m(t). Factor h(z).
-z**2*(z + 1)
Let o(f) = -4*f**4 + 9*f**3 + 32*f**2 + 32*f. Let y(c) = -c**4 + c**2 + c. Let r(p) = -3*o(p) + 15*y(p). Suppose r(z) = 0. Calculate z.
-3, 0
Let f(o) be the third derivative of -o**5/300 + o**3/30 - 2*o**2. Suppose f(j) = 0. What is j?
-1, 1
Suppose -15 = 6*k - 9*k. Factor 8*f**5 - 4*f**k + 2*f**2 - f**4 + 0*f**4 - 5*f**4.
2*f**2*(f - 1)**2*(2*f + 1)
Let f = -317 + 321. Factor -24/5*v**3 + 0 - 2/5*v**5 + 16/5*v**2 + 0*v + 12/5*v**f.
-2*v**2*(v - 2)**3/5
Let -x + 1/3*x**2 + 2/3 = 0. What is x?
1, 2
Suppose f + 6 + 0 = 0. Let j(k) = k**3 - k**2 - k. Let x(z) = 5*z**3 - 5*z**2 - 6*z. Let h(v) = f*j(v) + x(v). Solve h(o) = 0 for o.
0, 1
Let f(x) be the first derivative of 2*x**5/5 + x**4 - 2*x**3/3 - 2*x**2 + 1. Determine k so that f(k) = 0.
-2, -1, 0, 1
Let l(c) be the first derivative of c**7/4620 - c**6/330 + c**5/55 - 2*c**4/33 - 4*c**3/3 + 11. Let w(r) be the third derivative of l(r). Factor w(u).
2*(u - 2)**3/11
Let t be 4/(-6) + (-93)/(-18) + -4. Factor 0 + t*l**2 - 2*l**4 + 3/2*l**3 + 0*l.
-l**2*(l - 1)*(4*l + 1)/2
Let q(a) be the third derivative of -a**6/300 + a**5/150 + a**4/60 - a**3/15 - 5*a**2. Factor q(h).
-2*(h - 1)**2*(h + 1)/5
Let q(u) be the second derivative of 0*u**2 + 2*u + 1/20*u**4 + 0*u**3 - 1/50*u**6 + 0 + 0*u**5. Suppose q(y) = 0. What is y?
-1, 0, 1
Let c(o) be the first derivative of -o**6/2 - 6*o**5/5 - 3*o**4/4 + 2. Factor c(i).
-3*i**3*(i + 1)**2
Let z(y) be the second derivative of 0 + 1/4*y**3 + 1/4*y**4 - 3/2*y**2 - 3/40*y**5 + 4*y. Factor z(n).
-3*(n - 2)*(n - 1)*(n + 1)/2
Let r = 17 - 17. Suppose 0*i - 5*i = r. Let 2/3*a**2 - 2/3*a**4 + i*a + 4/3*a**3 - 4/3*a**5 + 0 = 0. What is a?
-1, -1/2, 0, 1
Let o(y) = 2*y**3 - 18*y**2 + 22. Let g(b) = -3*b**3 + 19*b**2 - 23. Let w(j) = 6*g(j) + 7*o(j). Factor w(l).
-4*(l - 1)*(l + 2)**2
Let l = 8/75 + 52/75. Factor 0 - 14/5*d**4 - l*d - 32/5*d**3 - 22/5*d**2.
-2*d*(d + 1)**2*(7*d + 2)/5
Let i(b) = -25*b - 172. Let g be i(-7). Factor -2/5*y - 1/5*y**g + 0 + 3/5*y**2.
-y*(y - 2)*(y - 1)/5
Let x(g) be the second derivative of g**6/10 - 21*g**5/20 - 9*g**4/4 + 7*g**3/2 + 12*g**2 + 25*g - 1. Factor x(p).
3*(p - 8)*(p - 1)*(p + 1)**2
Let y = -29 + 30. Let g be y/((-4)/8)*-1. Factor 0*n + 2/7*n**g + 0.
2*n**2/7
Suppose 0*s - 5*s = 0. Let b(u) be the second derivative of 0*u**2 + 0 + s*u**5 + 1/18*u**4 + 2/27*u**3 - 3*u - 1/135*u**6. Factor b(g).
-2*g*(g - 2)*(g + 1)**2/9
Let m(f) = 10*f**3 + f**2 + 2*f. Let z be m(-1). Let j = z + 11. Let 2/3*r + j - 1/3*r**2 = 0. Calculate r.
0, 2
Let p(f) be the third derivative of 0*f - 1/80*f**5 + 1/8*f**4 - 1/2*f**3 + f**2 + 0. Determine w so that p(w) = 0.
2
Let n be 7 + -9 + (-40)/(-18). Find s such that 0 - n*s**3 - 2/9*s**2 + 2/9*s**5 + 2/9*s**4 + 0*s = 0.
-1, 0, 1
Let y be (-2 + 40/15)/2. Determine z so that -1/3*z**3 + 0 + 1/3*z**2 - 1/3*z**4 + y*z = 0.
-1, 0, 1
Let k(v) be the second derivative of 0 + 1/30*v**5 - 1/3*v**2 + 1/18*v**4 - 1/9*v**3 - v. Factor k(i).
2*(i - 1)*(i + 1)**2/3
Let b be (-6)/(-12) - 2/8. Let l(y) be the first derivative of 1 - b*y**4 + 2/3*y - 4/9*y**3 + 1/6*y**2. Factor l(x).
-(x + 1)**2*(3*x - 2)/3
Let j(s) be the second derivative of -2*s**7/21 + 2*s**6/5 - 2*s**5/5 + 6*s. Suppose j(h) = 0. What is h?
0, 1, 2
Suppose -2*b - 1 = -3*o, 7*b + 2*o - 18 = 4*b. Let d(u) = 2*u - 8. Let g be d(b). Solve -2/9*w**2 + 0 + g*w + 4/9*w**3 - 2/9*w**4 = 0 for w.
0, 1
Let d(x) be the third derivative of 0*x**5 + 0*x**4 + x**2 + 0 + 0*x + 0*x**3 - 1/35*x**7 + 1/30*x**6 + 1/168*x**8. Factor d(n).
2*n**3*(n - 2)*(n - 1)
Suppose -5*h = 3*x - 6*x + 30, 0 = -2*x + 2*h + 16. Factor 0*d**2 + 0*d - 1/4*d**3 + 1/4*d**x + 0*d**4 + 0.
d**3*(d - 1)*(d + 1)/4
Let c(u) = u**2 - 15*u + 20. Let i be c(14). Let z be i/(-4) + 10/5. Factor -9/4*r - z - r**2.
-(r + 2)*(4*r + 1)/4
Let j(v) be the third derivative of 0*v**5 + 0*v**4 + 0*v**3 - 1/480*v**6 - 3*v**2 - 1/420*v**7 - 1/1344*v**8 + 0 + 0*v. Factor j(g).
-g**3*(g + 1)**2/4
Find x such that x**2 + 60*x - 2*x**2 - 4 - 64*x = 0.
-2
Let l(h) be the second derivative of 4*h + 0 + h**2 + 1/4*h**3 - 1/24*h**4. Suppose l(r) = 0. Calculate r.
-1, 4
Solve -20*w**3 - 10*w**4 + 26*w**3 - w**5 - 31*w**3 = 0.
-5, 0
Suppose 0*a - 4*a + 3*l = -16, -l = -3*a + 12. Suppose y - x - 4 = -5*x, 5 = -a*y + 5*x. Factor -1/4*k**3 - 1/4*k**2 + 0 + y*k.
-k**2*(k + 1)/4
Let f(o) be the second derivative of 10*o - 1/2*o**4 + 0 + 1/2*o**2 + 0*o**3 - 1/10*o**6 - 2/5*o**5. Let f(x) = 0. Calculate x.
-1, 1/3
Let t(w) be the first derivative of w**5/35 - w**4/14 + 3. Find l such that t(l) = 0.
0, 2
Let s be 4/12 - (-2)/3. Let l = 4 - s. Factor n**3 + l*n**2 + 2*n**2 + 0*n**3 - 6*n**2.
n**2*(n - 1)
Let k(l) = 6*l**3 + 29*l**2 + 6*l. Let t = 23 - 57. Let h(p) = p**3 + 5*p**2 + p. Let z(f) = t*h(f) + 6*k(f). Factor z(w).
2*w*(w + 1)**2
Suppose 4*i = -4*j - j + 27, -30 = -4*i - 2*j. Let l(o) = o**2 - 8*o + 5. Let f be l(i). Determine y so that y + 5*y**2 - f*y**3 - 13*y**3 + y = 0.
-2/9, 0, 1/2
Let g(s) be the second derivative of 0*s**2 + 1/75*s**6 + 0 - 1/30*s**4 + 1/50*s**5 - 1/105*s**7 + 4*s + 0*s**3. Determine v so that g(v) = 0.
-1, 0, 1
Let b(j) be the second derivative of -8*j**6/15 + 3*j**5/5 + j**4/3 - 17*j. Find m such that b(m) = 0.
-1/4, 0, 1
Let x = 910/9 - 101. Let z = 2/9 + x. Suppose 2/3 - z*v**2 + 1/3*v = 0. Calculate v.
-1, 2
Suppose 11 = 4*b + 3. Factor -1/4*y**5 + 0 + 0*y**4 + 0*y**b - 1/4*y + 1/2*y**3.
-y*(y - 1)**2*(y + 1)**2/4
Let r = -17 - -19. Let j(f) be the first derivative of 2/7*f + 1/21*f**6 + 5/7*f**r + 5/7*f**4 + 2/7*f**5 - 1 + 20/21*f**3. Factor j(i).
2*(i + 1)**5/7
Let n be 54/(-21) - (5 + (-14 - -6)). Factor -n*w + 3/7*w**2 + 0.
3*w*(w - 1)/7
Let c(d) be the first derivative of -d**5 - 5*d**4/4 + 20*d**3/3 + 10*d**2 + 15. Solve c(x) = 0.
-2, -1, 0, 2
Suppose -4*z**5 - 12*z**5 + 40*z**4 - 8*z**5 + 29*z**5 + 25*z + 80*z**2 + 90*z**3 = 0. Calculate z.
-5, -1, 0
Let b be (5/(-3) - -2)/(4/24). Factor 0 + 1/5*a - 1/5*a**b - 2/5*a**3.
-a*(a + 1)*(2*a - 1)/5
Let f be (-8)/(-6)*(-3)/(-2). What is q in 0*q**2 + 4*q - 3*q**2 + 0*q**f - 27 - 22*q = 0?
-3
Let w(d) =