i*o(y) - 3*v(y). Solve k(g) = 0 for g.
0
Let p(k) = k**2 + 4*k - 2. Let t be p(-5). Let u be t*(-1 - (-14)/12). Factor -x**4 + x**2 + 1/2*x + 0 - u*x**5 + 0*x**3.
-x*(x - 1)*(x + 1)**3/2
Let g(t) = -5*t**2 - 8*t - 1. Let r(p) = -16*p**2 - 25*p - 2. Let q(d) = 7*g(d) - 2*r(d). Find i, given that q(i) = 0.
-1
Let b(y) = -4*y**4 - 20*y**3 - 12*y**2 - 4*y - 4. Let g(i) = 12*i**4 + 59*i**3 + 37*i**2 + 11*i + 11. Let j(a) = -11*b(a) - 4*g(a). Solve j(c) = 0.
-2, 0
Let l = 37045/54 - 686. Let t(f) be the second derivative of -3*f + 0*f**3 + l*f**4 + 0 + 0*f**2. Factor t(b).
2*b**2/9
Let l = -8 - -10. Factor 6*k - 3*k**2 + 12*k**2 - l*k**4 - k**4.
-3*k*(k - 2)*(k + 1)**2
Let x be 1*-9*(-5)/15. Factor -r**x + 9 - 9 + r**2 + 0*r**2.
-r**2*(r - 1)
Let k(f) be the third derivative of f**6/1020 - f**5/510 - 16*f**2. Let k(u) = 0. Calculate u.
0, 1
Let k = -4/133 + 544/399. Let -2/3 + k*v - 2/3*v**2 = 0. What is v?
1
Let f be 1/((2 + -7)*10/(-30)). Factor 0*y + 0 + f*y**3 - 3/5*y**2.
3*y**2*(y - 1)/5
Let q(k) be the third derivative of -1/96*k**4 - 1/80*k**5 + 0*k + 1/840*k**7 + 1/12*k**3 + 0 + 1/480*k**6 + 3*k**2. Factor q(l).
(l - 1)**2*(l + 1)*(l + 2)/4
Suppose 0 = -5*d - 0*d + 15. Suppose 2*n - 3*n = -4*c + 15, -5*c + d*n = -17. Factor -4*a + 2*a**3 - a - c*a**2 + 3*a + 4.
2*(a - 2)*(a - 1)*(a + 1)
Find t such that 0 - 3*t**4 - 1/2*t**5 - 6*t**2 - 13/2*t**3 - 2*t = 0.
-2, -1, 0
Let s(p) be the first derivative of p**5/5 + p**4/2 - p**2 - p - 15. Factor s(z).
(z - 1)*(z + 1)**3
Suppose 3*n = -d + 5*d - 2, -d = 2*n - 6. Let g be (-4)/16 - d/(-4). Factor r**3 + 0 - r**2 + g*r.
r*(2*r - 1)**2/4
Let y(h) = -15*h**3 + 105*h**2 + 250*h + 125. Let m(g) = -7*g**3 + 53*g**2 + 125*g + 63. Let l(n) = 5*m(n) - 2*y(n). Factor l(v).
-5*(v - 13)*(v + 1)**2
Let b(j) = 40*j**4 + 28*j**3 - 12*j**2 + 8*j - 8. Let n(l) = 13*l**4 + 9*l**3 - 4*l**2 + 3*l - 3. Let p(a) = 3*b(a) - 8*n(a). Factor p(u).
4*u**2*(u + 1)*(4*u - 1)
Let l(p) be the first derivative of -p**6/2 + 16*p**5/5 - 23*p**4/4 - 2*p**3 + 14*p**2 - 8*p + 18. Factor l(k).
-(k - 2)**3*(k + 1)*(3*k - 1)
Let c(j) = -6*j**2 + 37*j - 4. Let p be c(6). Let -15/2*h + 3 + 6*h**p - 3/2*h**3 = 0. What is h?
1, 2
Let j be 18/16*9/540. Let g(n) be the third derivative of 0*n + 0 - 7/96*n**4 - 2*n**2 + j*n**6 - 1/12*n**3 + 0*n**5. Determine p so that g(p) = 0.
-2/3, -1/3, 1
Suppose -4*i = 6*g - 11*g - 1, -g - 5*i + 23 = 0. Factor 0 + 20/3*n**4 + 20/3*n**2 - 4/3*n**5 - 4/3*n - 11*n**g.
-n*(n - 2)**2*(2*n - 1)**2/3
Let g = 4 + 2. Let o(n) = -n**3 + n**2 - 5*n + 3. Let a(h) = -h**3 + 2*h**2 - 5*h + 4. Let i(r) = g*o(r) - 5*a(r). Factor i(z).
-(z + 1)**2*(z + 2)
Let z(i) be the first derivative of -i**4/3 - 2*i**3 - 4*i**2 - 4*i - 2. Let p(a) be the first derivative of z(a). Factor p(q).
-4*(q + 1)*(q + 2)
Suppose -4*n = -6 - 2. Let y be 3/1 + (-2)/(-2). Determine a, given that 0 + 0*a + a**5 - 1/2*a**n + 2*a**3 - 5/2*a**y = 0.
0, 1/2, 1
Let l(z) be the second derivative of -z**7/6300 - z**6/1800 + z**4/6 - 7*z. Let y(i) be the third derivative of l(i). What is u in y(u) = 0?
-1, 0
Let q(j) be the second derivative of -j**4/54 - 4*j**3/27 + 5*j. Factor q(i).
-2*i*(i + 4)/9
Let f(h) be the second derivative of -h**6/20 + h**5/5 - h**4/24 - 2*h**3/3 + h**2 + h. Suppose f(x) = 0. Calculate x.
-1, 2/3, 1, 2
Let v(b) be the third derivative of 0*b + 0 + 2*b**2 + 1/90*b**5 + 0*b**3 + 1/180*b**6 + 0*b**4. Factor v(n).
2*n**2*(n + 1)/3
Let u be 1/(-4) - 18/(-8). Suppose k = 4*h - 1, u*k - 4 = 3*h + 6*k. Factor -2/7*f + 0*f**2 + 4/7*f**3 + h*f**4 + 0 - 2/7*f**5.
-2*f*(f - 1)**2*(f + 1)**2/7
Factor 3/2*g**4 + 0*g + 0 + 0*g**2 - 3/4*g**5 - 3/4*g**3.
-3*g**3*(g - 1)**2/4
Suppose -x - 17 = -4*c - 4, -c - 2*x - 8 = 0. Let -1/6*d**c + 0 - 1/6*d = 0. Calculate d.
-1, 0
Let o(l) be the third derivative of l**8/168 + l**7/105 - l**6/30 - 12*l**2. Factor o(y).
2*y**3*(y - 1)*(y + 2)
Suppose -3*o + 24 = 9*o. Factor 2*n - 3/2 - 1/2*n**o.
-(n - 3)*(n - 1)/2
Let r(k) be the third derivative of -1/60*k**6 - 2/3*k**3 + 5*k**2 + 0 + 0*k + 1/15*k**5 + 1/12*k**4. Let r(t) = 0. What is t?
-1, 1, 2
Determine l, given that 0*l**5 + 48*l**3 + 44*l**2 - 16*l**5 - 40*l**4 - 34*l**5 + 8*l**5 - 6*l - 4 = 0.
-1, -2/7, 1/3, 1
Let v(m) = -15*m - 195. Let u be v(-13). Factor 0 + u*t**3 - 2/5*t**4 + 6/5*t**2 + 4/5*t.
-2*t*(t - 2)*(t + 1)**2/5
Let h(v) be the third derivative of v**7/105 + v**6/90 - 2*v**5/45 - v**4/18 + v**3/9 - 12*v**2. Solve h(n) = 0 for n.
-1, 1/3, 1
Let b = -21 - -27. Let l be (-4)/b*(-6)/16. Solve -1/4*z**4 + 1/4*z**3 + l*z**2 - 1/4*z + 0 = 0.
-1, 0, 1
Let y(o) be the second derivative of 0 + 0*o**2 - 1/10*o**4 - 6*o - 1/10*o**3 + 9/100*o**5. Factor y(r).
3*r*(r - 1)*(3*r + 1)/5
Let d = -27 + 109/4. What is i in 0*i**2 - 1/4*i**3 + 0 + d*i = 0?
-1, 0, 1
Let s = -5 + 5. Factor -2*w**2 - 4*w**3 - 2*w + 3*w**3 + s + 2 + 3*w**3.
2*(w - 1)**2*(w + 1)
Let p(t) = t + 17. Let n be p(-12). Let l = -13/3 + n. Factor 0 - 1/3*f**3 - 1/3*f - l*f**2.
-f*(f + 1)**2/3
Let q = 77 - 307/4. Solve 1/4*s**3 - q*s + 1/4 - 1/4*s**2 = 0 for s.
-1, 1
Let a = -1/3218 + 1728073/22526. Let i = 77 - a. Suppose 2/7 - 4/7*j**2 + 4/7*j**3 - i*j - 2/7*j**5 + 2/7*j**4 = 0. What is j?
-1, 1
Suppose -4*u = 5 + 3, 14 = 2*b - 2*u. Let r(t) be the third derivative of 1/210*t**b + 0*t**3 + 2*t**2 - 1/420*t**6 + 0*t**4 + 0 + 0*t. Factor r(m).
-2*m**2*(m - 1)/7
Let g(m) = -m**5 - m**4 - m**3 - m - 1. Let i(o) = 7*o**5 + 10*o**4 + 11*o**3 + 2*o**2 + 6*o + 6. Let d(b) = -6*g(b) - i(b). Factor d(a).
-a**2*(a + 1)**2*(a + 2)
Let m be ((-4)/6)/(2/(-33)). Let f = m - 8. Solve 2*c**2 + f*c + 0*c**3 + 3*c**3 + 0*c**3 + 4*c**2 = 0 for c.
-1, 0
Factor -14*a**2 + 37*a**2 - 5 - 18*a**2.
5*(a - 1)*(a + 1)
Let x(w) = -w. Let f be x(-4). Factor -g**f + g**2 + 22*g**3 - 22*g**3.
-g**2*(g - 1)*(g + 1)
Let l(h) be the first derivative of -1/15*h**3 + 1/5*h**2 + 1/50*h**5 - h - 2 - 1/30*h**4. Let c(t) be the first derivative of l(t). Solve c(k) = 0 for k.
-1, 1
Suppose 3*o = -7 + 52. Factor -o*z**2 + 72*z**3 - 150*z**4 + 3*z**2 + 75*z**5 + 15*z**4.
3*z**2*(z - 1)*(5*z - 2)**2
Let z be 3 + 4/(2 - -2). Let h(b) = 3*b**4 + 2*b**3 - b**2 + 4*b. Let a(v) = v**3 + v**4 + 2*v**3 + v - 2*v**3. Let s(c) = z*a(c) - h(c). Factor s(p).
p**2*(p + 1)**2
Let o(j) be the first derivative of -j**4 + 5*j**3 - 6*j**2 - 4*j - 7. Factor o(l).
-(l - 2)**2*(4*l + 1)
Let r be (1/(-5))/((1/(-6))/1). Factor -2/5*d**2 + r*d - 2/15*d**4 + 0 - 2/3*d**3.
-2*d*(d - 1)*(d + 3)**2/15
Suppose -36 = -5*h - 4*x, -5*h + x - 23 = -8*h. Let 0*n**4 - 1 - n**3 + 2*n**4 + 9*n**3 + 3 + 12*n**2 + h*n = 0. What is n?
-1
Factor -4*k**3 + 2*k**2 + 2*k**2 + 2*k**3 - k**4 - k**4.
-2*k**2*(k - 1)*(k + 2)
Let f = 14 - 9. Let o = f - 2. Suppose 0*w**4 + 0 + 0*w**2 + 0*w - 1/2*w**o + 1/2*w**5 = 0. What is w?
-1, 0, 1
Suppose -3*f - 48 = -7*f. Let s be (f/(-15))/(10/(-25)). Factor -4/3*r + 0 - 6*r**2 - 22/3*r**4 - s*r**5 - 10*r**3.
-2*r*(r + 1)**3*(3*r + 2)/3
Let o be (-2)/(-6)*(-18)/(-24). Determine r, given that 5/4*r**2 - r - o = 0.
-1/5, 1
Let a(v) be the third derivative of 0*v**3 + 3*v**2 + 0 + 1/165*v**5 + 0*v - 1/660*v**6 - 1/132*v**4. Solve a(t) = 0.
0, 1
Factor -512/9 - 2/9*k**2 - 64/9*k.
-2*(k + 16)**2/9
Let r(y) be the first derivative of 5*y**4/4 + 20*y**3/3 + 25*y**2/2 + 10*y - 2. Let r(n) = 0. Calculate n.
-2, -1
Let z(d) = d - 2. Let o be z(3). Suppose o = 2*x - 9. Let 0*j - 2*j**4 - 2/3*j**2 + 2*j**3 + 0 + 2/3*j**x = 0. Calculate j.
0, 1
Suppose 3*k - 2 = 2*k. Let t(v) = v**3 + 15*v**2 - 15*v + 18. Let h be t(-16). Factor 5*u**h - k*u + u - 4*u**2.
u*(u - 1)
Let i(h) be the second derivative of h**5/10 - h**4/6 - 5*h**3/3 - 3*h**2 - 25*h. Suppose i(k) = 0. What is k?
-1, 3
Let l(u) be the first derivative of -9/25*u**5 - 6/5*u + 3 - 3*u**3 + 33/20*u**4 + 27/10*u**2. Find r such that l(r) = 0.
2/3, 1
Let c be 4 - (-3 + 5 - 0). Let l(h) be the second derivative of 1/18*h**4 - 1/9*h**3 - h + 0*h**c + 0. Let l(s) = 0. What is s?
0, 1
Let v(g) be the third derivative of -1/15*g**5 - 1/30*g**6 + g**2 + 1/3*g**3 + 0 + 0*g + 1/105*g**7 + 1/12*g**4 + 1/168*g**8. Find c, given that v(c) = 0.
-1, 1
Let l(w) = -3*w**2 - 7*w - 4. Let y(h) = 21*h**2 + 48*h + 27. Let p(o) = -27*l(o) - 4*y(o). Determine q, given that p(q) = 0.
-1, 0
What is l in -8*l**2 - 