 1)**2/4
Let g(i) be the third derivative of 2/175*i**7 + 1/40*i**4 + 1/15*i**3 + i**2 + 0*i + 0 + 1/150*i**6 - 1/240*i**8 - 7/150*i**5. Determine y so that g(y) = 0.
-1, -2/7, 1
Determine d so that 0*d - 3/7 + 3/7*d**2 = 0.
-1, 1
Let s(z) be the third derivative of z**6/120 + z**5/60 - z**4/24 - z**3/6 + 29*z**2. Find c, given that s(c) = 0.
-1, 1
Let i(h) = -3*h**2 + 2*h. Let g(l) = 4*l**2 - 3*l. Let f(r) = 4*g(r) + 5*i(r). Factor f(d).
d*(d - 2)
Let s be (-8)/28 + (-1261)/21. Let b = 61 + s. What is g in 5/3*g**3 + 0 - 1/3*g**2 + 1/3*g**4 - g**5 - b*g = 0?
-1, -2/3, 0, 1
Factor -2 - f**5 + 2 + 4*f**5 - 3*f**3.
3*f**3*(f - 1)*(f + 1)
Suppose 0 = 2*p - 3*p. Suppose -t + 3 = -p*t. Determine s so that -10*s + 10*s**2 - 4*s**3 + t - 1 + 2*s = 0.
1/2, 1
Let n(f) = 3*f**2 - f. Let d be n(-2). Suppose 8 = 2*k - 0. Determine o, given that 0*o + 3*o + 54*o**3 + o - 46*o**k + d*o**5 - 26*o**2 = 0.
0, 2/7, 1
Suppose 4*x + 4 = 4*z, 3*z = -4*x + 40 - 16. Suppose 0 = 2*m + x - 7. Factor -4/3 - 2/3*l**m + 2*l.
-2*(l - 2)*(l - 1)/3
Let p = 19/39 + -37/156. Let 0 + p*s**2 - 1/4*s = 0. What is s?
0, 1
Let d(s) = s**2 + 6*s + 5. Let v be d(-6). Suppose -v*c = 5*k - 30, -4*c - 4*k + 26 = k. What is m in -m**4 + m**4 - 2*m**4 - m**3 + m**c = 0?
-1, 0
Suppose y = -g - 3, -5*y = -4*g + 5*g - 5. Factor 1/2*v + 1/2*v**3 + 0 + v**y.
v*(v + 1)**2/2
Factor 3/4*c**2 - 1/4*c**4 + 1/2*c**3 - 2*c + 1.
-(c - 2)*(c - 1)**2*(c + 2)/4
Let x(s) be the second derivative of s**4/18 + s**3/9 - 17*s. Factor x(v).
2*v*(v + 1)/3
Let k be (-8)/16 + (-146)/20. Let j = k - -439/55. Factor 0 - 2/11*u + 0*u**2 + j*u**3.
2*u*(u - 1)*(u + 1)/11
Let w be (-15)/(-6)*(14/(-5) + 3). Factor -1/2*i**2 + 0*i + w.
-(i - 1)*(i + 1)/2
Let q(p) be the first derivative of -2*p**3/9 - 2*p**2/3 - 16. Find x, given that q(x) = 0.
-2, 0
Let m(y) be the second derivative of -y**4/12 + 4*y**3/9 - 2*y**2/3 - 9*y. What is a in m(a) = 0?
2/3, 2
Let q(u) be the second derivative of 2*u**5/15 - 25*u**4/18 + 14*u**3/3 - 3*u**2 - 2*u - 5. Factor q(s).
2*(s - 3)**2*(4*s - 1)/3
Let a(h) = -h**3 + 36*h**2 + 35*h + 76. Let n be a(37). Factor 0 - 1/4*j - 1/4*j**3 + 1/2*j**n.
-j*(j - 1)**2/4
Find l, given that -3/2 - 1/2*l**2 + 2*l = 0.
1, 3
Let j(b) = 3*b**2 - 9*b - 11. Let l(a) = a**2 - 3*a - 4. Let y(p) = 4*j(p) - 11*l(p). Factor y(t).
t*(t - 3)
Let z(b) = -2*b**2 - 12*b - 12. Let i(n) = -2*n**2 - 13*n - 13. Let o(w) = -4*i(w) + 5*z(w). Let o(q) = 0. Calculate q.
-2
Let s(m) = 2*m**2 + 7*m - 1. Let h be s(-4). Let p(i) be the second derivative of i - 1/3*i**h + 0 + 0*i**4 + 1/30*i**5 + 2/3*i**2. Factor p(t).
2*(t - 1)**2*(t + 2)/3
Let v(h) = -h**4 + h**3 - h**2 - h. Let l(y) = -y**2 - y. Let a be l(-2). Let u(o) = 4*o**4 - 2*o**3 + 2*o. Let b(m) = a*v(m) - u(m). Let b(w) = 0. What is w?
-1, 0, 1
Let n = 0 - -3. Suppose -2*a - 12 = -8*a. Solve -2/9*i**n + 0*i**a + 0 + 0*i - 2/9*i**4 = 0.
-1, 0
Let f(i) be the second derivative of -i**7/42 + i**6/5 - 3*i**5/5 + 5*i**4/6 - i**3/2 - 29*i. Factor f(h).
-h*(h - 3)*(h - 1)**3
Let g(v) = -9*v**4 + 4*v**3 - 4*v**2 + 8*v - 8. Let w(p) = p**4 - p + 1. Let a(u) = 5*g(u) + 40*w(u). Factor a(l).
-5*l**2*(l - 2)**2
Suppose z - 5 = -0*z. Let l = z + -4. Factor g - g**3 + 2*g**2 + 0*g**3 - 3*g**2 + l.
-(g - 1)*(g + 1)**2
Suppose -2*c = -c - 1. Factor -6*z**2 + z - 3*z + c + 3 - 8*z.
-2*(z + 2)*(3*z - 1)
Let x(v) = -24*v**2 - 15*v - 24. Let z(r) = -3*r**2 - 2*r - 3. Let g(k) = 4*x(k) - 33*z(k). Solve g(b) = 0 for b.
-1
Let u(a) = -a**3 - 2*a**2 - 3*a - 1. Let r be u(-2). Find d such that -r*d**2 + 5*d**2 + 3*d + 3*d**2 = 0.
-1, 0
Let s(z) = z - 4. Let i be s(10). Let t be (30/100)/(i/16). Factor -2/5*w**2 - 2/5 - t*w.
-2*(w + 1)**2/5
Let j(s) be the first derivative of 3*s**5 + 10*s**4 + 35*s**3/3 + 5*s**2 - 4. Factor j(z).
5*z*(z + 1)**2*(3*z + 2)
Let x(w) be the second derivative of -w**5/120 + w**4/18 - 5*w**3/36 + w**2/6 + 15*w. Suppose x(z) = 0. Calculate z.
1, 2
Let l(w) = -w**2 - 5*w + 4. Suppose -3*z + 5 = 20. Let q be l(z). Solve 0 + 0*o**3 - 1/5*o**2 + 1/5*o**q + 0*o = 0 for o.
-1, 0, 1
Factor 47*d**2 - 51*d**2 + 10*d - 2 - 4*d.
-2*(d - 1)*(2*d - 1)
Let l(n) be the first derivative of -n**4/6 - 4*n**3/9 - n**2/3 + 2. Suppose l(v) = 0. What is v?
-1, 0
Let i(w) be the first derivative of 2/21*w**3 + 2/35*w**5 + 0*w**2 + 4 - 1/7*w**4 + 0*w. Factor i(n).
2*n**2*(n - 1)**2/7
Find x such that -2/21*x**5 - 4/21*x**2 + 2/7 - 2/21*x**4 + 4/7*x**3 - 10/21*x = 0.
-3, -1, 1
Let z(m) be the second derivative of -1/3*m**3 + 5*m - 1/2*m**2 + 1/12*m**4 + 0 + 1/10*m**5. Factor z(x).
(x - 1)*(x + 1)*(2*x + 1)
Let j(h) be the first derivative of 3*h**4 - 4*h**3/3 - 4*h**2 - 9. Factor j(a).
4*a*(a - 1)*(3*a + 2)
Let i(q) be the first derivative of -q**4 - 4*q**3 - 4*q**2 - 14. Factor i(z).
-4*z*(z + 1)*(z + 2)
Let g(u) = u**3 - 22*u**2 + 26*u - 102. Let k be g(21). Factor -1/9*t**2 + 1/9*t**4 + 0 - 1/9*t + 1/9*t**k.
t*(t - 1)*(t + 1)**2/9
Solve 0*k + 1/2*k**2 - 1/2 = 0.
-1, 1
Let x(k) = -65*k**5 - 55*k**4 + 13*k**3 + 3*k**2. Let b(o) = -o**3 - o**2. Let a(u) = -3*b(u) - x(u). Factor a(z).
5*z**3*(z + 1)*(13*z - 2)
Factor 4*i**2 + 36/5*i**3 - 54/5*i**5 - 54/5*i**4 - 14/5*i + 2/5.
-2*(i + 1)**2*(3*i - 1)**3/5
Let r(m) be the second derivative of 0*m**3 + 0 - 1/24*m**4 + 1/60*m**5 + m**2 - m. Let i(h) be the first derivative of r(h). Solve i(t) = 0.
0, 1
Let n(u) = 20*u**2 + 6*u. Let k(h) = h. Suppose 2*c - 7 = -2*c - 5*a, 5*c + 5*a = 5. Let b(x) = c*k(x) + n(x). Factor b(l).
4*l*(5*l + 1)
Let a be ((-1)/(-15))/(5 - 6). Let s = a - -4/15. Determine k, given that 0*k + 1/5 - s*k**2 = 0.
-1, 1
Let n(y) be the third derivative of 1/5*y**5 + 0*y + 0 - 1/8*y**4 - 3/20*y**6 + y**2 - 1/112*y**8 + 2/35*y**7 + 0*y**3. Factor n(r).
-3*r*(r - 1)**4
Solve 2/5*h**2 - 4/5*h + 0 = 0.
0, 2
Let m(a) be the first derivative of -2*a**4/7 - 6*a**3/7 + 10*a**2/7 + 6*a/7 - 4. Factor m(r).
-2*(r - 1)*(r + 3)*(4*r + 1)/7
Suppose 4*q = -4*m - 12, -28 = -4*m + 3*q + q. Suppose m*v = -2*v. Factor 2/5*f**3 + v*f**2 + 0 - 2/5*f.
2*f*(f - 1)*(f + 1)/5
Solve -12/5*x - 6/5*x**2 - 6/5 = 0 for x.
-1
Suppose -3*v + 4 = z, -2*z = -5*v - 14 + 39. Let d be (2/(-15))/((-1)/v). Let -8/5*r**4 + 0*r + 0 + 0*r**2 + d*r**3 = 0. What is r?
0, 1/4
Let v be (-28)/140*10/(-3). Solve 0 - v*u**5 - 2/3*u + 8/3*u**4 + 8/3*u**2 - 4*u**3 = 0 for u.
0, 1
Suppose 5*c = -2 - 3. Let p be (0*c/2)/1. Determine i, given that -2/3*i + p + 2/3*i**2 = 0.
0, 1
Determine f, given that -4*f**2 - 128*f - 374 + 187 - 837 = 0.
-16
Factor 2*c - 3*c**5 - 3*c + 0*c**4 + c**4 + 1 - 2*c**2 + 2*c**5 + 2*c**3.
-(c - 1)**3*(c + 1)**2
Let f(d) = 3*d**2 + 2. Let z(b) = b**2 + 6*b + 8. Let j be z(-5). Suppose -3*n = -n - 4. Let r(y) = -4*y**2 - 3. Let s(h) = j*f(h) + n*r(h). Factor s(g).
g**2
Suppose -9/5*z**3 + 0 - 6/5*z + 21/5*z**2 = 0. What is z?
0, 1/3, 2
Let k be -1 + ((-3)/(-3) - 4). Let i = k - -6. Suppose i + 6*c**2 - 3*c**2 + 4*c + c**2 - 2*c**2 = 0. Calculate c.
-1
Suppose 0 = -4*j - 12, -4*j = -4*h - 0*h + 20. Let o be 0 - 0*(-1 - 0). Solve -6*s**3 - 2*s**5 + 5*s**4 + o*s**4 + 2*s**h + s**4 = 0 for s.
0, 1
Let u(d) be the third derivative of d**7/420 + d**6/120 - d**4/24 - d**3/12 - 3*d**2. Factor u(q).
(q - 1)*(q + 1)**3/2
Let n(l) be the first derivative of -1/11*l**2 - 4/33*l**3 + 0*l - 1/22*l**4 + 2. Determine k, given that n(k) = 0.
-1, 0
Let d(o) be the first derivative of 3/2*o - 4 - 3/8*o**2 - 1/4*o**3. Factor d(b).
-3*(b - 1)*(b + 2)/4
Let d(x) be the third derivative of -2/3*x**3 - 3*x**2 + 1/30*x**5 + 0*x - 1/12*x**4 + 0. Suppose d(o) = 0. Calculate o.
-1, 2
Suppose -7 = 5*q + 3, c + q = 0. Suppose 0 = 3*n - c*i + 2, i - 12 = 4*n - 4*i. Find r such that -n - 2*r - r - 2*r**2 - r = 0.
-1
Factor -3/7 + 3/7*f**2 - 1/7*f + 1/7*f**3.
(f - 1)*(f + 1)*(f + 3)/7
Let l be 3/(-4) - 90/8. Let q be 2/(3 - (-28)/l). Factor -11/2*u**2 - 1/4 + 6*u**q + 2*u - 9/4*u**4.
-(u - 1)**2*(3*u - 1)**2/4
Let u = 124 + -619/5. Factor -1/5*r**2 + 0*r + 0 - u*r**3.
-r**2*(r + 1)/5
Let j = 2/17 - -41/85. Factor -j*i - 12/5*i**4 + 0 - 3/5*i**5 - 12/5*i**2 - 18/5*i**3.
-3*i*(i + 1)**4/5
Let z(n) = 4*n**2 - 11*n - 3. Let y(f) = 5*f**2 - 12*f - 4. Let h(g) = -3*y(g) + 4*z(g). Suppose h(m) = 0. Calculate m.
0, 8
Let w = 11761/180 - 196/3. Let d(y) be the third derivative of -1/36*y**