 - 11. Let w(c) = -4*j(c) + 22*m(c). Suppose w(f) = 0. What is f?
-1, 0, 1
Suppose 0 = -3*d - 3*d. Suppose d = b + 2*b. Solve -18/7*a**2 - 2*a**3 + b - 4/7*a = 0.
-1, -2/7, 0
Solve 3*x**5 - 2*x + 0*x**5 - 9*x**4 - 4*x + 9*x**2 + 0*x + 3*x**3 = 0 for x.
-1, 0, 1, 2
Suppose -g + 21 = 18. Let j(z) be the first derivative of 0*z - 11/6*z**g - 3 - 9/8*z**4 - 1/2*z**2. Find d, given that j(d) = 0.
-1, -2/9, 0
Suppose -4*f = -13*f. Suppose -v + t + f + 2 = 0, t = -2. Factor 2/3*p**2 - 2/3*p**4 + 2/3*p - 2/3*p**3 + v.
-2*p*(p - 1)*(p + 1)**2/3
Let x(m) be the second derivative of 3*m**5/5 - 5*m**4/4 + m**3/2 - 5*m. Factor x(o).
3*o*(o - 1)*(4*o - 1)
Factor -2 - 4*z**4 + 16*z**3 - 24*z**3 - 12*z**2 + 2*z**4 - 8*z.
-2*(z + 1)**4
Factor 1/3*u - 1/3*u**4 - 1/3*u**3 + 0 + 1/3*u**2.
-u*(u - 1)*(u + 1)**2/3
Let p(m) = m**3. Let l(g) = -3*g - 16. Let b be l(-5). Let j(s) = -2*s**3 + 12*s - 8. Let x(t) = b*j(t) + 2*p(t). Determine a, given that x(a) = 0.
-2, 1
Let l(z) be the second derivative of z**7/42 + z**6/15 - z**5/20 - z**4/6 + z. Factor l(h).
h**2*(h - 1)*(h + 1)*(h + 2)
Suppose -3*u + 3 = 3*h, -5*h + 9*u = 7*u + 2. Let y(j) be the third derivative of 0 + 1/420*j**6 + h*j**5 + 0*j**3 + 3*j**2 - 1/84*j**4 + 0*j. Factor y(z).
2*z*(z - 1)*(z + 1)/7
Let k(l) = -6*l**3 + 10*l**2 - 12*l + 3. Let b(a) = -5*a**3 + 9*a**2 - 11*a + 3. Let h(w) = 5*b(w) - 4*k(w). Suppose h(t) = 0. What is t?
1, 3
Let t(w) be the third derivative of w**8/336 - w**7/105 + w**5/30 - w**4/24 + 2*w**2. Solve t(r) = 0.
-1, 0, 1
Let y(w) be the third derivative of -w**5/210 - w**4/42 - w**3/21 - 3*w**2. Solve y(d) = 0.
-1
Factor -2*m + 6*m**4 - 2*m**4 - m + 12*m**3 + 12*m**2 + 7*m.
4*m*(m + 1)**3
Let w(g) = 4*g**2 - 2*g + 4. Let d(f) = 4*f - 8*f**2 - 9 - 4*f + 3*f. Let y(t) = -3*d(t) - 7*w(t). Factor y(i).
-(i - 1)*(4*i - 1)
Let h(b) be the first derivative of -2/3*b**2 + 2/3*b + 4 + 2/9*b**3. Suppose h(n) = 0. What is n?
1
Suppose -4 - 8 = -3*d. Let k(f) be the second derivative of 1/42*f**d - 3*f - 1/7*f**2 + 0 - 1/21*f**3 + 1/70*f**5. Factor k(m).
2*(m - 1)*(m + 1)**2/7
Let t(v) = 2*v**4 + 4*v**3 + 6*v**2 - 4*v + 4. Let b(z) = 6*z**4 + 12*z**3 + 17*z**2 - 11*z + 11. Let d(w) = -4*b(w) + 11*t(w). Solve d(k) = 0 for k.
-1, 0
Let j(v) be the second derivative of -v**5/50 - v**4/10 - v**3/5 - v**2/5 + 8*v. Solve j(c) = 0.
-1
Let k be 4/(-4)*6/(-3). Let p(w) be the first derivative of -2/3*w**3 - w**k + 1 + 4*w. Factor p(b).
-2*(b - 1)*(b + 2)
Factor 17*z + 2*z**2 - 2*z**3 + 2*z**4 - 4*z**2 - 15*z.
2*z*(z - 1)**2*(z + 1)
Let v(n) be the third derivative of -n**8/84 - 16*n**7/525 + 2*n**6/75 + 2*n**5/15 + n**4/30 - 4*n**3/15 + 3*n**2. Determine i so that v(i) = 0.
-1, 2/5, 1
Let v(i) be the third derivative of -2*i**5/75 + i**4/12 - i**3/15 - 10*i**2. Factor v(x).
-2*(x - 1)*(4*x - 1)/5
Let q(l) be the first derivative of -8*l**5/15 + l**4/2 + 10*l**3/9 - l**2 - 2*l/3 + 15. What is h in q(h) = 0?
-1, -1/4, 1
Let u(i) = i - 12. Let f be ((-2)/3)/(1/(-18)). Let j be u(f). Let -3*p**3 + 6*p - 4*p**3 + p**3 + 2*p**2 + j*p - 2 = 0. Calculate p.
-1, 1/3, 1
Let k(w) be the first derivative of -w**7/560 - 11*w**6/2160 - w**5/360 - 8*w**3/3 + 7. Let x(f) be the third derivative of k(f). Find g, given that x(g) = 0.
-1, -2/9, 0
Let w(d) be the first derivative of -8/7*d**3 + 5/14*d**4 + 0*d + 3 + 4/7*d**2. Factor w(x).
2*x*(x - 2)*(5*x - 2)/7
Let h(x) be the second derivative of x**5/20 - x**4/3 - 2*x**3/3 - 2*x**2 - 2*x. Let m be h(5). Suppose 0 + k**2 + m + 2*k + 0*k = 0. What is k?
-1
Let w = -1 - -9. Let z = w + -6. Factor -8/5*n - 8/5 - 2/5*n**z.
-2*(n + 2)**2/5
Factor 7*u - 2 + 0*u + 0 + u**2 - 6.
(u - 1)*(u + 8)
Factor 2/19*u**2 + 8/19 + 8/19*u.
2*(u + 2)**2/19
Let k(c) be the first derivative of -c**6/6 + 2*c**5/5 - 2*c**3/3 + c**2/2 + 43. Factor k(u).
-u*(u - 1)**3*(u + 1)
Let x(y) be the second derivative of y**8/240 - y**7/70 + y**6/120 + y**5/60 + y**3/3 + y. Let i(u) be the second derivative of x(u). Solve i(p) = 0 for p.
-2/7, 0, 1
Let g(r) be the third derivative of -r**5/6 + r**4/6 + 3*r**2. Let g(p) = 0. Calculate p.
0, 2/5
Let v(k) = -k + 3. Let p be v(0). Suppose -p*m + m + 8 = 0. Factor -1 + 3*t**2 - m*t**2 + 2.
-(t - 1)*(t + 1)
Let k(o) be the first derivative of -6*o**5/5 - 15*o**4/4 - 4*o**3 - 3*o**2/2 + 6. Factor k(n).
-3*n*(n + 1)**2*(2*n + 1)
Let b = 13 + -13. Let i(j) be the second derivative of -1/20*j**5 + j + b + 1/3*j**2 - 7/36*j**4 + 1/6*j**3 + 1/18*j**6. Factor i(s).
(s - 1)**2*(s + 1)*(5*s + 2)/3
Suppose -105 = -5*g - 5*b, 4*b = -g + 1 + 11. Factor 15*y**3 + 65*y**2 + 2 + 24*y - g*y**2 + 2.
(y + 2)*(3*y + 1)*(5*y + 2)
Let t(q) be the second derivative of 2/3*q**3 + 0 + 2/75*q**5 + q + 0*q**2 + 1/30*q**4 + 7/1800*q**6. Let p(n) be the second derivative of t(n). Factor p(s).
(s + 2)*(7*s + 2)/5
Let v(i) be the second derivative of 1/30*i**4 + 2*i + 1/30*i**3 + 0 - 1/5*i**2 - 1/100*i**5. Factor v(f).
-(f - 2)*(f - 1)*(f + 1)/5
Factor 1/2*n**4 - 1/2*n**3 - 1/2*n**2 + 1/2*n + 0.
n*(n - 1)**2*(n + 1)/2
Let t(y) be the third derivative of 0*y + 1/36*y**4 + 0 + 0*y**3 + 2*y**2 - 1/72*y**6 - 1/60*y**5. Factor t(f).
-f*(f + 1)*(5*f - 2)/3
Suppose 2*x - 12 = -2*x. Let w be 4/8*4/x. Factor -w*z**2 + 2*z - 4/3.
-2*(z - 2)*(z - 1)/3
Let q be (-5)/18 + (-5)/(-15). Let n(g) be the second derivative of g - q*g**4 + 0*g**2 + 0 - 2/45*g**5 + 1/27*g**3. What is t in n(t) = 0?
-1, 0, 1/4
What is y in 8*y + 0*y**4 - 6*y**3 + y**4 - 3*y**4 = 0?
-2, 0, 1
Suppose 4 = 3*q + b, 4*q - 3*b = 2*b - 20. Factor 1/3*p**4 + 1/3 - 2/3*p**2 + 0*p + q*p**3.
(p - 1)**2*(p + 1)**2/3
Let -9*i**4 + 94/7*i**3 - 4/7 - 24/7*i - 3/7*i**2 = 0. What is i?
-2/7, -2/9, 1
Let t = 609/4 - 152. What is m in 1/2*m + 0 + t*m**2 = 0?
-2, 0
Suppose -2*p + 73 = 5*z, -z - 115 = -3*p - 2*p. Find b, given that -12*b**5 + 4*b**4 - 11*b**3 - 3*b**2 + 4*b**2 - p*b**4 - 3*b**2 = 0.
-2/3, -1/2, 0
Find f such that 0*f + 3/8*f**5 - 3/8*f**4 - 9/8*f**2 - 15/8*f**3 + 0 = 0.
-1, 0, 3
Determine a, given that -2/5*a**5 + 8/5*a**2 + 6/5*a**3 - 4/5*a**4 - 8/5*a + 0 = 0.
-2, 0, 1
Suppose 2*q = 3*q - 2*u - 14, -u = 3*q - 7. Suppose 234*w - 15*w**2 + q*w**3 - 213*w - 9 - w**3 = 0. Calculate w.
1, 3
Let k(r) be the first derivative of -r**5/25 + r**4/10 - r**3/15 - 3. Factor k(x).
-x**2*(x - 1)**2/5
Let l be (-1)/(-6) + (-68)/(-24). Let u(k) be the first derivative of 0*k + 1/20*k**5 - 1/16*k**4 - 1/12*k**l + 1/8*k**2 - 2. Solve u(w) = 0.
-1, 0, 1
Let n(s) be the second derivative of -s**4/72 + s**3/12 - s**2/6 - 9*s. Let n(k) = 0. Calculate k.
1, 2
Let v(b) be the second derivative of b**4/14 + 16*b**3/21 + 5*b**2/7 + 15*b. Factor v(c).
2*(c + 5)*(3*c + 1)/7
Let j(s) be the first derivative of 5*s**3/3 + 15*s**2/2 + 35. Factor j(g).
5*g*(g + 3)
Let w(i) be the third derivative of -2*i**7/105 - i**6/6 - i**5/15 + 7*i**4/2 + 12*i**3 - i**2. Determine u so that w(u) = 0.
-3, -1, 2
Let -12/5*x - 3/5*x**2 - 12/5 = 0. Calculate x.
-2
Let w be (2/5)/(5*24/100). Find h, given that -w*h**4 + 0 - 1/3*h - h**2 - h**3 = 0.
-1, 0
Let m(j) = -j + 6. Let s be m(6). Suppose s = q - 3*q. Find n, given that -4/9*n**4 + 0*n + q + 2/9*n**5 + 2/9*n**3 + 0*n**2 = 0.
0, 1
Let w = 397 + -397. Find x such that 2/11 + w*x - 2/11*x**2 = 0.
-1, 1
Suppose -p + 3*p - 8 = 0. Let f(u) be the first derivative of 1/12*u**p + 1 + 0*u**2 + 0*u + 0*u**3. Find q, given that f(q) = 0.
0
Let n(z) be the first derivative of z**3 + 3 - 3*z - 3*z**2 + z + 5*z. Factor n(a).
3*(a - 1)**2
Determine h, given that -24*h**3 + 3*h**3 - 8*h**3 + 9*h**4 - 13*h**3 - 24*h + 60*h**2 = 0.
0, 2/3, 2
Factor 5*f + 16*f**3 + 6 - 60*f**2 + 34*f**2 - f.
2*(f - 1)**2*(8*f + 3)
Let i(q) be the first derivative of q**4/48 + q**3/8 + q**2/4 + 2*q - 2. Let w(o) be the first derivative of i(o). Let w(t) = 0. Calculate t.
-2, -1
Let z(n) = n**3 + 2*n**2 - n + 2. Let a(f) = 1. Let l(o) = -20*a(o) + 5*z(o). Factor l(c).
5*(c - 1)*(c + 1)*(c + 2)
Let j(k) = -k**2 - 6*k + 11. Let z be j(-7). Let p(g) be the third derivative of 0*g - g**2 - 1/30*g**5 + 1/4*g**z + 0 - 2/3*g**3. Determine i so that p(i) = 0.
1, 2
Let c = 351/1204 - 1/172. Factor 8/7*g**2 - 8/7*g - c*g**3 + 0.
-2*g*(g - 2)**2/7
Suppose -5*u - 2*l = -20, 4*u - 2*l + 2 + 0 = 0. Let f = -197/7 + 823/28. Suppose -1/4*h**3 - u*h + f*h**2 + 1 = 0. Wha