 + 5. Determine i so that q(i) = 0.
0, 1
Let x(z) = 4*z - 2. Let w be x(2). Let s = 0 + w. Find f such that 9*f + f - s*f**2 + 0*f**2 + 3 + 1 = 0.
-1/3, 2
Suppose 2 = 3*n + 11. Let p be ((-1)/n)/((-2)/(-18)). Determine o so that -3*o**3 + 3*o**3 - o + o**p = 0.
-1, 0, 1
Let x(y) be the second derivative of 5*y**4/7 - 4*y**3/21 - 22*y. What is r in x(r) = 0?
0, 2/15
Let x(q) be the third derivative of -q**5/120 + q**4/12 - 16*q**2. Factor x(o).
-o*(o - 4)/2
Let c(g) = 9 - 2*g**2 - 3 - 17*g + 8*g**2 + 5*g**2. Let z(n) = 7*n**2 - 11*n + 4. Let r(y) = -5*c(y) + 8*z(y). Find w, given that r(w) = 0.
1, 2
Determine d so that -2/11*d**2 + 0 + 4/11*d**3 - 2/11*d = 0.
-1/2, 0, 1
Let w be (-627)/(-270) - (-8)/(-36). Let h(i) be the first derivative of 2 + w*i**5 + 0*i - i**2 - 8/3*i**3 - 1/8*i**4. Let h(y) = 0. What is y?
-2/3, -2/7, 0, 1
Let g(q) be the first derivative of 2*q**5/5 - q**3 - 7*q**2/2 - 2. Let s(t) = 4*t**4 - 7*t**2 - 13*t. Let z(j) = 5*g(j) - 3*s(j). Factor z(h).
-2*h*(h - 2)*(h + 1)**2
Factor 7/4*w**4 + 9/4*w - 1/2 - 9/4*w**3 - 5/4*w**2.
(w - 1)**2*(w + 1)*(7*w - 2)/4
Suppose -5*x + 42 = 2*d, x + 4*d - 5*d - 14 = 0. Let l = x - 10. Factor -4*p**2 - 8*p**3 - 3 + 10*p - 2*p**5 + 2 + l + 8*p**4 - 3.
-2*(p - 2)*(p - 1)**3*(p + 1)
Determine k so that -6*k - 3*k - 6*k + 2*k**3 + 7*k = 0.
-2, 0, 2
Let f(s) be the first derivative of -s**3/12 - s**2/8 + s/2 - 23. Factor f(h).
-(h - 1)*(h + 2)/4
Let n = 2 - -2. Let o(s) be the first derivative of 0*s**2 + 1 + 2/5*s**5 + 9/14*s**n + 4/21*s**3 + 0*s. Suppose o(c) = 0. Calculate c.
-1, -2/7, 0
Let t(m) be the third derivative of -m**7/10 - 19*m**6/120 + 29*m**5/210 + 13*m**4/42 + 4*m**3/21 - 29*m**2. Let t(o) = 0. What is o?
-1, -2/7, 2/3
Find s, given that -2/11 + 16/11*s - 14/11*s**2 = 0.
1/7, 1
Let v(r) be the second derivative of 1/180*r**6 + r - 1/2*r**3 + 0*r**2 - 1/30*r**5 + 1/12*r**4 + 0. Let j(g) be the second derivative of v(g). Factor j(p).
2*(p - 1)**2
Suppose -3/2*a - 9/2 - 1/8*a**2 = 0. Calculate a.
-6
Let j(g) be the third derivative of -3*g**7/28 - g**6/24 + 9*g**5/8 - 5*g**4/4 - 5*g**3/3 - 17*g**2. Suppose j(p) = 0. Calculate p.
-2, -2/9, 1
Let y(s) be the third derivative of 1/40*s**5 - 3*s**2 + 0 + 1/3*s**3 - 1/180*s**6 + 1/12*s**4 + 0*s. Let i(d) be the first derivative of y(d). Factor i(o).
-(o - 2)*(2*o + 1)
Let z = 6 + -2. Find s, given that -6 + 32*s**3 - 73*s**2 + 17*s**2 + 48*s - 10 + s**5 - 9*s**z = 0.
1, 2
Let g(f) be the second derivative of 0*f**2 + 6*f + 0 - 1/150*f**6 + 0*f**3 - 1/100*f**5 + 0*f**4. Factor g(m).
-m**3*(m + 1)/5
Let z(l) = l**3 - 5*l**2 - 5*l - 6. Let w be z(6). Let f(i) = i + 2. Let h be f(w). Factor -5*v - 12*v**h - 27 + 23*v + 9*v**2.
-3*(v - 3)**2
Let c(f) = f**2 - f - 3. Let v be c(3). Suppose -5*o + v = -17. Find y, given that -2*y**3 + 5*y**4 - y**4 + o*y**3 + 2*y**5 = 0.
-1, 0
Factor 5*k + 0*k**2 - 6*k**2 + 2*k**2 - 9*k.
-4*k*(k + 1)
Determine g so that 22/5*g**2 + 24/5*g**3 + 9/5*g**4 + 8/5*g + 1/5 = 0.
-1, -1/3
Factor -14/5*z**3 - 1/5*z**4 - 48/5*z**2 + 14/5*z + 49/5.
-(z - 1)*(z + 1)*(z + 7)**2/5
Let u(o) be the first derivative of 8*o**5/45 - 7*o**4/18 + 4*o**3/27 + o**2/9 - 30. Factor u(m).
2*m*(m - 1)**2*(4*m + 1)/9
Let z = 35 - 30. Factor 0 - 2/3*v**4 - 2/3*v**z + 0*v + 0*v**2 + 4/3*v**3.
-2*v**3*(v - 1)*(v + 2)/3
Let m be 4/(64/6) - 3/(-24). Let q(i) be the first derivative of 2/3*i + 1 + 1/9*i**3 + m*i**2. Factor q(k).
(k + 1)*(k + 2)/3
Let x(n) be the third derivative of n**8/112 + 2*n**7/35 + 3*n**6/20 + n**5/5 + n**4/8 + 8*n**2. Find t, given that x(t) = 0.
-1, 0
Factor 1543*g - 1561*g + g**2 + 9 + 97 - 25.
(g - 9)**2
Let c be 8/(-28) + (2 - 123/84). Solve 0 - c*p - 1/2*p**2 - 1/4*p**3 = 0.
-1, 0
Let o(n) be the second derivative of 49*n**6/160 - 7*n**5/20 + n**4/8 - 3*n**2/2 + 2*n. Let d(v) be the first derivative of o(v). Factor d(w).
3*w*(7*w - 2)**2/4
Solve 0*u**2 + 3/5*u**3 + 0*u + 0 - 3/5*u**4 = 0.
0, 1
Let n(x) = 15*x**3 + 33*x**2 - 9*x - 9. Let p(o) = 7*o**3 + 16*o**2 - 4*o - 4. Let a(l) = -4*n(l) + 9*p(l). Factor a(s).
3*s**2*(s + 4)
Let m(p) be the second derivative of -3*p**5/20 + p**4/4 + p**3/2 - 3*p**2/2 - 4*p. Factor m(d).
-3*(d - 1)**2*(d + 1)
Let z(y) be the third derivative of y**8/70560 - y**7/4410 + y**6/630 - y**5/30 - 3*y**2. Let k(h) be the third derivative of z(h). Solve k(m) = 0.
2
Let u(p) = 2*p**5 + p**4 + 2*p**3 + 3*p**2 - 3*p - 3. Let s(j) = -3*j**2 + 5*j**2 - j**2 + j**5 + 0 - j - 1. Let y(o) = -3*s(o) + u(o). Solve y(g) = 0 for g.
-1, 0, 2
Let j(i) be the first derivative of -2/25*i**5 - 4/5*i**3 - 2/5*i - 2/5*i**4 + 4 - 4/5*i**2. Factor j(t).
-2*(t + 1)**4/5
Find r, given that -3/2*r + 3/8*r**2 + 0 = 0.
0, 4
Let r(f) be the first derivative of 7*f**4/12 - 16*f**3/9 + 11*f**2/6 - 2*f/3 - 1. Factor r(h).
(h - 1)**2*(7*h - 2)/3
Suppose 18 - 3 = 3*z. Suppose 0 = -z*a + 2*a. Factor a*f + 0 + 1/4*f**3 + 0*f**2.
f**3/4
Suppose 0 = -10*t - 44 + 74. Let z(b) be the third derivative of 0*b + 1/20*b**5 - 3/8*b**4 + 0 + b**t + 2*b**2. Solve z(f) = 0.
1, 2
Let j be 5*-2*(-2)/4. Let n(b) = 5*b**2 + 4*b. Let k(r) = -6*r**2 - 4*r + 1. Let a(p) = j*n(p) + 4*k(p). Let a(f) = 0. What is f?
-2
Let j(i) be the third derivative of -i**5/20 + i**4/4 - i**3/2 + 4*i**2. Factor j(z).
-3*(z - 1)**2
Solve 0 + 1/4*z**4 + 1/2*z + 1/4*z**5 - 1/4*z**2 - 3/4*z**3 = 0 for z.
-2, -1, 0, 1
Let p(f) = -f**3 + f**2 + 7. Suppose 0 = -2*m + m. Let v be p(m). Factor 5*o**3 - 9*o**2 - 3*o**4 - 2 + v*o + 0*o**3 + 2*o**4.
-(o - 2)*(o - 1)**3
Let z(y) be the first derivative of 2/3*y**3 + 8*y + 3 + 4*y**2. Solve z(d) = 0 for d.
-2
Determine c, given that -3/4*c + 1/4*c**2 + 1/2 = 0.
1, 2
Factor -1/2 + 1/2*s**3 - 3/2*s**2 + 3/2*s.
(s - 1)**3/2
Suppose 0 = 2*q - 4 + 2. Let k be (-1 - 3/(-12))/((-6)/20). Factor q + 3/2*x**2 + k*x.
(x + 1)*(3*x + 2)/2
Let t be ((-20)/(-50))/(8/(-25)). Let p = 7/4 + t. Determine g so that -p*g - g**2 + 0 + 3/2*g**3 = 0.
-1/3, 0, 1
Let z(n) be the first derivative of 1/6*n**4 + 0*n**3 - 3 + 0*n**2 + 0*n + 2/15*n**5. Solve z(y) = 0.
-1, 0
Suppose 9*x - 8 - 46 = 0. Let z(m) be the third derivative of 1/40*m**x + 0*m**3 - 1/140*m**7 - 3*m**2 + 0*m**4 + 0*m - 1/40*m**5 + 0. Factor z(y).
-3*y**2*(y - 1)**2/2
Suppose -5 - 3 = 4*x + 2*i, -3*i - 12 = -5*x. Let m(h) be the third derivative of 1/20*h**5 + 0*h - h**2 + 1/3*h**4 + 2/3*h**3 + x. Factor m(a).
(a + 2)*(3*a + 2)
Let l(i) be the first derivative of -i**8/420 - i**7/105 - i**6/90 + 5*i**3/3 - 7. Let c(m) be the third derivative of l(m). Determine h so that c(h) = 0.
-1, 0
Let l = 26 - 18. Let f be (-20)/l - (-4 + 1). Factor -1/2*o**2 + 0*o + f.
-(o - 1)*(o + 1)/2
Factor -20/3 + 5/3*t**2 + 5*t.
5*(t - 1)*(t + 4)/3
Let n be 3/(-1) - 90/27*-1. Factor -v**4 - 1/3*v**5 - v**3 - n*v**2 + 0*v + 0.
-v**2*(v + 1)**3/3
Let f be (16/(-84)*3)/(-2). Factor -2/7*l + f*l**3 + 0 + 0*l**2.
2*l*(l - 1)*(l + 1)/7
Factor 0*c + 2/3*c**2 + 0.
2*c**2/3
Suppose 0 = 4*i - 2 - 6. Find y, given that 1 - 1 + 4 - y**i - 2*y - 5 = 0.
-1
Let l(z) be the third derivative of z**5/330 - z**4/22 + 3*z**3/11 - 13*z**2. Determine a so that l(a) = 0.
3
Let k = -44 + 111. Solve -4*i**4 + 46*i**3 + 81*i - k*i**2 - 7*i**4 - 55*i**2 + i**5 + 32*i**2 - 27 = 0.
1, 3
Let z(n) = -2*n + 3. Let l(u) = -1. Let b(t) = 5*l(t) + z(t). Let k(h) = -h**2 - 9*h - 9. Let m(q) = -9*b(q) + 2*k(q). Determine c, given that m(c) = 0.
0
Let q be (2/(-3))/(2/(-6)). Let v be 0 - (-4 - 0 - -1). Let q - 3*l - v*l**2 + 2*l**2 - 4 = 0. Calculate l.
-2, -1
Let q = 151 + -147. Let w(v) be the first derivative of 0*v**2 - 1 - 1/4*v**q + 0*v - 1/15*v**5 - 2/9*v**3. Determine u, given that w(u) = 0.
-2, -1, 0
Let m(a) = -a**3 - 3*a**2 + 3*a - 2. Let h be m(-4). Determine x, given that -2*x**5 + 4*x**4 + 5*x**3 - 9*x**3 + h*x**3 = 0.
0, 1
Let t(x) = -15*x - 43. Let l be t(-3). Factor 0*m**3 + 1/2 + 1/2*m**4 - m**l + 0*m.
(m - 1)**2*(m + 1)**2/2
Let t(g) be the first derivative of g**5/40 - g**4/6 + 5*g**3/12 - g**2/2 + 2*g + 7. Let k(z) be the first derivative of t(z). Let k(m) = 0. Calculate m.
1, 2
Let h(a) be the first derivative of a**3/18 - 5*a**2/6 + 25*a/6 + 13. Find m, given that h(m) = 0.
5
Let z = -304 - -307. Find g such that 2*g**z + 0*g + 2/3*g**4 + 4/3*g**2 + 0 = 0.
-2, -1, 0
Let p(s) be the third derivative of -s**5/270 +