*t**4/3 - 17*t. Determine x, given that g(x) = 0.
-2, -2/7, 0, 1
Let l(f) = -5*f**3 - 4*f**2 + 6*f + 6. Let z(g) = 4*g + 2*g**2 + 1 + 0*g - 3*g**2 - 3*g. Let d(a) = l(a) - 6*z(a). What is m in d(m) = 0?
0, 2/5
Factor 2/11*d**3 + 2/11*d**2 + 1/11 - 3/11*d**4 - 3/11*d + 1/11*d**5.
(d - 1)**4*(d + 1)/11
Let j(w) = -6*w**4 + 4*w**3 - w**2 + 9*w + 4. Let n(s) = -2*s**2 + 47*s - 46*s - s**4 + 1 + 3*s**2. Let t(a) = -j(a) + 5*n(a). Factor t(c).
(c - 1)**4
Let v(p) be the third derivative of 7*p**5/15 + 5*p**4/6 - 4*p**3/3 + 2*p**2. Factor v(a).
4*(a + 1)*(7*a - 2)
Let m(l) = l**3 - 4*l**2 + 13*l + 6. Let x(j) = -3*j**3 + 9*j**2 - 27*j - 12. Let p(h) = 9*m(h) + 4*x(h). Solve p(r) = 0.
-1, 2
Suppose 0 = -w - 2*w - 9. Let v be (-1)/w*4/4. Factor 0*c + 0*c**2 + 0 - v*c**4 - 2/3*c**3.
-c**3*(c + 2)/3
Let o be (-3)/(30/4)*-10. Let d(k) be the second derivative of -2*k + 0*k**3 + 3/20*k**5 + 0 + 0*k**2 + 1/10*k**6 + 0*k**o. What is a in d(a) = 0?
-1, 0
Factor 0*r - 6/7*r**2 + 2/7*r**3 + 8/7.
2*(r - 2)**2*(r + 1)/7
Let n(s) = -9*s**4 - 23*s**3 + s**2 + 11*s. Let i(a) = 45*a**4 + 116*a**3 - 6*a**2 - 56*a - 1. Let x(q) = -2*i(q) - 11*n(q). Suppose x(l) = 0. What is l?
-2, -1, 1/3
Let p(m) = m**3 + 5*m**2 + 3*m + 1. Let s be p(-2). Factor s*k**4 + 4*k**2 + 8*k**4 - 5*k**4 - 2*k**3 + 16*k**3.
2*k**2*(k + 1)*(5*k + 2)
Find y such that -7/6*y**3 + 0 - 7/6*y**2 - 1/3*y**4 - 1/3*y = 0.
-2, -1, -1/2, 0
Determine n, given that 4/5 + 2/5*n**2 + 6/5*n = 0.
-2, -1
Let g(h) be the third derivative of h**8/224 - 3*h**7/140 + h**6/80 + 3*h**5/40 - h**4/8 - 4*h**2. Solve g(u) = 0.
-1, 0, 1, 2
Let z = 4/2631 - 2069/14909. Let u = 43/17 - z. Factor 2/3*v**3 + u*v**2 + 0 + 8/3*v.
2*v*(v + 2)**2/3
Let p(q) = 2*q**5 + 8*q**4 - 6*q**3 + 10*q**2 - 5*q + 3. Let t(v) = -v**5 - v**4 - v**3 - v**2 + v - 1. Let w(o) = p(o) + 3*t(o). Factor w(z).
-z*(z - 2)*(z - 1)**3
Factor 2*r**3 - 3*r + 5*r**2 + r**3 - 5*r**2.
3*r*(r - 1)*(r + 1)
Let y = -1514 - -7576/5. Factor y*r + 0 - 2/5*r**2.
-2*r*(r - 3)/5
Let h(j) be the first derivative of -j**6/1260 + j**5/420 - j**3 + 1. Let g(s) be the third derivative of h(s). Suppose g(w) = 0. What is w?
0, 1
Let z(o) be the second derivative of 1/9*o**3 - 2*o**2 - 7/72*o**4 - 4*o + 0 - 1/45*o**5. Let b(a) be the first derivative of z(a). Factor b(q).
-(q + 2)*(4*q - 1)/3
Let d be (-1 - (-9)/4)*4/10. What is h in 1/4*h**2 + d + 3/4*h = 0?
-2, -1
Let t(y) be the second derivative of -y**6/240 - y**5/80 - y**4/96 - 10*y. Find u, given that t(u) = 0.
-1, 0
Factor -2/7*q**4 + 2/7*q**2 + 0 + 2/7*q - 2/7*q**3.
-2*q*(q - 1)*(q + 1)**2/7
Let s = 6 - 6. Determine y, given that 0 - 2/5*y**2 + 0*y + s*y**3 + 2/5*y**4 = 0.
-1, 0, 1
Let j(y) = -y**3 - 11*y**2 + 13*y + 14. Let v be j(-12). Suppose -2*p + 5*b = -21, v*b = -5*p + 2 + 7. Factor -4/3*f**2 - 8/3*f - 16/9 - 2/9*f**p.
-2*(f + 2)**3/9
Let x(w) = -w - 6. Let g = 10 + -16. Let f be x(g). Solve 0*k**2 - 2*k + f*k**3 - 3*k**2 - k**3 = 0 for k.
-2, -1, 0
Let x(m) be the second derivative of -m**8/240 - m**7/70 - m**6/120 + m**5/60 - m**3/2 - m. Let k(b) be the second derivative of x(b). Factor k(r).
-r*(r + 1)**2*(7*r - 2)
Suppose -3*h = -4*h - 2. Let m be h/5 + (-36)/(-15). Let 3 + 4*a**4 - 14*a + 12*a**4 + 36*a**m - 1 - 40*a**3 = 0. Calculate a.
1/2, 1
Let b(g) = g**2 - 3*g + 2. Let i be b(2). Let d(o) be the third derivative of 0*o**3 - 1/60*o**4 + 1/150*o**5 - 3*o**2 + i*o + 0. Factor d(t).
2*t*(t - 1)/5
Let z(h) be the first derivative of -h**5/80 - h**4/16 - h**3/8 - 3*h**2 - 5. Let x(q) be the second derivative of z(q). Solve x(s) = 0.
-1
Let v(y) be the third derivative of -1/60*y**4 - 3*y**2 + 0 + 0*y + 1/150*y**6 - 1/840*y**8 - 2/75*y**5 + 2/525*y**7 + 2/15*y**3. Let v(g) = 0. Calculate g.
-1, 1, 2
What is q in 23/5*q**2 - 1/5*q**5 + 0 + q**4 + 21/5*q**3 + 8/5*q = 0?
-1, 0, 8
Suppose -15 = -0*i - 4*i - u, 4*u - 12 = 0. Find y, given that 10/7*y**2 + 0 + 2/7*y + 8/7*y**i = 0.
-1, -1/4, 0
Let j(c) be the first derivative of -2/7*c - 2/21*c**3 - 1 + 2/7*c**2. Factor j(x).
-2*(x - 1)**2/7
Let y = -1555/4 - -385. Let t = y - -143/36. Solve t*n - 4/9 + 2/9*n**2 = 0 for n.
-2, 1
Let p be (-2)/(-4) - (-2)/(-4). Let l(t) be the third derivative of 0 + 0*t**3 + t**2 + 0*t + p*t**4 + 1/150*t**5. Solve l(g) = 0.
0
Factor -3/5*s**3 - 27/5*s - 6*s**2 + 0.
-3*s*(s + 1)*(s + 9)/5
Let u = 62 + -60. Let k(i) be the third derivative of -1/96*i**4 - 1/240*i**5 + 0 - 3*i**u + 0*i**3 + 0*i. Suppose k(y) = 0. Calculate y.
-1, 0
Let a = 189 - 1697/9. What is r in -2/9*r**2 + 0 - a*r = 0?
-2, 0
Let d(z) be the third derivative of 0 - 1/30*z**5 + 1/120*z**6 - 3*z**2 + 0*z**3 + 0*z + 1/24*z**4. Factor d(b).
b*(b - 1)**2
Suppose -3*h + 12 = -9. Find k such that -5*k**2 - h*k**5 + 9*k**3 - 5*k**4 - 7*k + 0*k + 5*k + 10*k**4 = 0.
-1, -2/7, 0, 1
Suppose 3*r - 27*r = 0. Find q, given that -2/5*q**2 - 2/5*q**5 + 2/5*q**4 + r*q + 0 + 2/5*q**3 = 0.
-1, 0, 1
Let j(o) = -o**2 - 11. Let p(a) = -a - 2. Let f(z) = -j(z) + 4*p(z). Solve f(x) = 0.
1, 3
Factor -75/2*w**2 - 10*w**3 + 0 + 10*w.
-5*w*(w + 4)*(4*w - 1)/2
Let o be 3/((-6)/8) + 4. Suppose 0*g - 4*g + a = -5, 25 = -4*g - 5*a. Factor 10/11*j**5 + g + o*j + 6/11*j**4 - 4/11*j**3 + 0*j**2.
2*j**3*(j + 1)*(5*j - 2)/11
Let l = -697/3 + 233. Factor -2/3*s**3 + l*s - 2*s**2 + 2/3*s**4 + 4/3.
2*(s - 2)*(s - 1)*(s + 1)**2/3
Let k be (-20)/(-2)*(-4)/(-10). Suppose -2*b = -s + 12, -b + 55 = k*s + 16. Factor -4*g**2 + 6*g + s*g**2 - 3*g**2.
3*g*(g + 2)
Let t be 3 - 247/75 - (-1)/3. Let g(a) be the first derivative of 0*a + 3 + 0*a**3 + 0*a**4 + 0*a**2 + t*a**5. Factor g(q).
q**4/5
Suppose 8 = 4*l - 3*g, 3*g - 15 = -3*l + 12. Suppose -d - l*b + 2 = 0, -4*d + 3*d - 2*b = -2. Factor -h**2 - 5*h**2 + 0 - 2*h**3 - d - 6*h.
-2*(h + 1)**3
Suppose -2*g - 10 = -3*i, i = -5*g + 4*g. Let v(m) be the second derivative of -2*m + 1/12*m**4 + 0 - m**i - 1/6*m**3. Find u such that v(u) = 0.
-1, 2
Let a(y) = 3*y**2 + 2*y + 2. Let n(j) = 4*j**2 + 2*j + 3. Suppose 0*m = -2*m + 6. Let f(w) = m*a(w) - 2*n(w). Find u, given that f(u) = 0.
-2, 0
Let c(o) be the second derivative of -o**7/42 - o**6/30 + o**5/20 + o**4/12 - 9*o. Suppose c(s) = 0. Calculate s.
-1, 0, 1
Let s(a) be the third derivative of a**7/70 - 3*a**6/40 + 3*a**5/20 - a**4/8 - 2*a**2. Determine z, given that s(z) = 0.
0, 1
Determine d, given that 1/3*d**2 - 4/3*d + 1 = 0.
1, 3
Let x(s) be the third derivative of -s**6/660 + s**5/165 + s**4/132 - 2*s**3/33 + 4*s**2. Solve x(i) = 0.
-1, 1, 2
Let o be (-193)/13 + 10/(-65). Let x = o - -63/4. Find r such that 0 - 1/4*r**2 + 3/4*r**3 + 1/4*r**5 - x*r**4 + 0*r = 0.
0, 1
Let d = 951/10 + -95. Let s(r) be the second derivative of 0*r**2 + 1/3*r**3 + 2*r - d*r**5 + 0 + 2/15*r**6 - 1/3*r**4. What is z in s(z) = 0?
-1, 0, 1/2, 1
Let j = 341/2 + -169. Find r such that -j + 3/2*r**2 + 3/2*r - 3/2*r**3 = 0.
-1, 1
Let b(f) be the third derivative of f**6/660 - f**5/330 - f**4/132 + f**3/33 - 27*f**2. Factor b(i).
2*(i - 1)**2*(i + 1)/11
Let j(z) = z**2 - 2*z - 15. Let k be j(5). Factor 3/2*n**2 - 3/4*n**4 + k*n**3 - 3/4 + 0*n.
-3*(n - 1)**2*(n + 1)**2/4
Let o(r) be the first derivative of 0*r**3 + 1/15*r**6 + 1/20*r**5 + 1/42*r**7 - 2 + r + 0*r**4 + 0*r**2. Let d(s) be the first derivative of o(s). Factor d(n).
n**3*(n + 1)**2
Let a = 17 + -15. Suppose -j = n - 1, -5*j - n + 5 = -a*j. Factor 1/3*x**4 + x**j - x**3 + 0 - 1/3*x.
x*(x - 1)**3/3
Let v(k) be the third derivative of k**7/350 - k**5/100 + 9*k**2. Factor v(r).
3*r**2*(r - 1)*(r + 1)/5
Let x = -6 - -8. Solve -3*i**4 + 3*i + 3*i - x*i**2 + 11*i**2 + 0*i = 0 for i.
-1, 0, 2
Let v = 22 - 3. Suppose 3*w = 4*w - v. Let w*k - 15 - 3*k - 11*k**2 + k**2 + 7 + 2*k**3 = 0. Calculate k.
1, 2
Let g(j) be the third derivative of -j**8/84 + 2*j**7/105 + 5*j**2. Determine l, given that g(l) = 0.
0, 1
Suppose -2*f + 4*f - 6*f = 0. Let g(y) be the second derivative of 1/5*y**5 + 1/30*y**6 + 2*y + 0*y**3 + 1/3*y**4 + 0 + f*y**2. Factor g(h).
h**2*(h + 2)**2
Let c(u) = u + 2. Let d be c(0). Suppose w = -0*w + z, -d*z + 12 = 4*w. Factor -12*f**w - 12*f - 5*f - 8*f - 2*f - 6.
-3*(f + 2)*(4*f + 1)
Let p be (-2)/(-10) + (-64)/(-5). Let s = -11 + p. Factor 0*l**3 + 0 + 0*l**s + 0*l - 1/4*l**4.
-l**4/4
Let g(w) = -2*w**2 + 2*w - 6. Let a(h) = -2. Let k(x) = 1. Let y(t) = -2*a(t) - 