2*o**2 + 0 + o**4 + 1/2*o**3 = 0. Calculate o.
-1, 0, 1/2
Suppose -2*t = 6*o - 10*o + 8, o = -3*t + 2. Let w(i) be the second derivative of -3/4*i**4 + t + 0*i**2 + i + 3/20*i**5 + i**3. Suppose w(k) = 0. What is k?
0, 1, 2
Let y(v) be the second derivative of -3*v**5/40 - v**4/3 - v**3/3 - 2*v. Factor y(g).
-g*(g + 2)*(3*g + 2)/2
Let f(c) be the third derivative of c**7/10080 - c**6/1440 + c**4/6 - c**2. Let b(n) be the second derivative of f(n). Suppose b(k) = 0. Calculate k.
0, 2
Let j(y) be the third derivative of 0*y + 1/210*y**7 - 1/6*y**4 + 1/20*y**5 - 2/3*y**3 + 1/30*y**6 - 9*y**2 + 0. Factor j(n).
(n - 1)*(n + 1)*(n + 2)**2
Let t(i) = 8*i**3 - 6*i**2 + 6*i + 2. Let z(m) = -7*m**3 + 6*m**2 - 5*m - 3. Let x(o) = 5*t(o) + 6*z(o). What is p in x(p) = 0?
-1, 2
Let g = 9 - 7. Factor -13*f**3 + 3 - 21*f**2 - g*f**3 - 3 - 6*f.
-3*f*(f + 1)*(5*f + 2)
Let d(v) = v**4 - v**3 - 5*v**2 + 5*v - 4. Let s(i) = i**3 + 3*i**2 + i - 1. Let g be s(-3). Let t(x) = -x**2 + x - 1. Let u(p) = g*t(p) + d(p). Factor u(b).
b*(b - 1)**2*(b + 1)
Let s(j) be the third derivative of -4*j**2 - 3/140*j**5 + 1/24*j**4 - 1/21*j**3 - 1/1470*j**7 + 0 + 1/168*j**6 + 0*j. Factor s(v).
-(v - 2)*(v - 1)**3/7
Let j = -6 + 6. Let u(b) be the third derivative of 0 - 1/36*b**4 + 2*b**2 - 2/45*b**5 - 1/504*b**8 - 4/315*b**7 + j*b - 1/30*b**6 + 0*b**3. Solve u(m) = 0.
-1, 0
Let n(k) be the first derivative of -6*k**3 + 7*k**2 + 4*k + 5. Suppose n(c) = 0. Calculate c.
-2/9, 1
Let x(b) = -15*b**3 + 96*b**2 + 81*b - 129. Let s(z) = z**3 - 6*z**2 - 5*z + 8. Let t(h) = 33*s(h) + 2*x(h). Let t(y) = 0. What is y?
-1, 1, 2
Suppose 5*w - w = 16. Suppose 0 = -3*t + 2*t + w. Factor 0*m + 0*m**3 + 0 + 2/9*m**2 - 2/9*m**t.
-2*m**2*(m - 1)*(m + 1)/9
Let z = -14 - -20. Let s(m) be the third derivative of 1/6*m**3 - 1/210*m**7 - m**2 + 0 + 0*m**5 + 0*m + 1/60*m**z - 1/12*m**4. Factor s(h).
-(h - 1)**3*(h + 1)
Let f(p) be the third derivative of -4*p**2 + 0*p**3 + 0*p - 1/18*p**4 + 1/45*p**5 + 0 - 1/360*p**6. Solve f(u) = 0.
0, 2
Let f = -50 - -53. Let -4/3 + 1/3*s**f - 5/3*s**2 + 8/3*s = 0. Calculate s.
1, 2
Let f be -8 - -2*(-4)/(-8). Let s be -1 - f*(-1)/(-4). Factor 3/2*g + 3/4*g**2 + s.
3*(g + 1)**2/4
Let l(f) = -3*f**5 - 2*f**4 + 8*f**3 - 5*f - 2. Let r(y) = -11*y**5 - 9*y**4 + 31*y**3 - 20*y - 9. Let n(t) = -9*l(t) + 2*r(t). Find g, given that n(g) = 0.
-1, 0, 1
Suppose 0 = -0*m - 2*m - 5*c - 11, 12 = 3*m - 2*c. Find p such that -p + 3*p**2 - 2*p - p - 5*p**2 - m = 0.
-1
Let b be 57/(-21) + (-4)/14. Let s be (b - 60/(-9)) + -2. Factor -2/3*l - 1/3*l**2 + 0 + 8/3*l**3 - s*l**4.
-l*(l - 1)**2*(5*l + 2)/3
Let b be -1*5*(3 + -4). Let k(t) be the third derivative of -1/120*t**b + 0 + t**2 + 0*t**3 + 0*t - 1/24*t**4. Solve k(n) = 0.
-2, 0
Suppose -4*x + 2*x - 4 = y, -5*x = 0. Let s be y + (-93)/(-15) + -2. Factor s - 1/5*p**2 + 0*p.
-(p - 1)*(p + 1)/5
Let r = -190 - -578/3. Find x such that -2*x**2 + 1/3*x**3 + 4*x - r = 0.
2
Let x be (52/(-20) + 2)/(8/(-10)). Solve 3*u - 9/4 - x*u**2 = 0.
1, 3
Let g(x) be the first derivative of 4 - 2/45*x**3 - 1/30*x**4 - 2/5*x + 1/3*x**2. Let g(z) = 0. Calculate z.
-3, 1
Let f(r) be the second derivative of r**4/12 + 5*r**3/6 + 3*r**2 - 2*r. Let b be f(-4). Determine q so that 4*q**b - q**4 + 2*q**4 - 6*q**2 + 1 = 0.
-1, 1
Let 4/5*b**3 + 0*b - 2/5*b**5 + 2/5*b**4 + 0 + 0*b**2 = 0. Calculate b.
-1, 0, 2
Let i(p) = -12*p**5 - 24*p**4 - 6*p**3 + 3*p**2 + 3*p + 3. Let h(j) = j**5 + j**4 - j**2 - j - 1. Let y(s) = 3*h(s) + i(s). Solve y(a) = 0 for a.
-2, -1/3, 0
Let x(c) = -2*c - 23. Let t be x(-13). Let b(z) be the second derivative of 0*z**2 + 1/3*z**t + 3*z - 1/6*z**4 + 0. Factor b(g).
-2*g*(g - 1)
Let o be (-120)/(-45)*(-3)/(-2). Let h(y) be the first derivative of 0*y - 1 - 3/2*y**3 - 3/10*y**5 + 9/8*y**o + 3/4*y**2. Solve h(u) = 0 for u.
0, 1
Factor 27 + 4*u**2 + 0*u**2 + 5*u**2 + u**3 + 27*u.
(u + 3)**3
Let p(c) be the second derivative of c**7/252 + c**6/36 + 3*c**5/40 + 7*c**4/72 + c**3/18 - 31*c. What is n in p(n) = 0?
-2, -1, 0
Solve 2/9*k**2 - 4/9*k + 1/9*k**3 - 8/9 = 0 for k.
-2, 2
Factor 0 - 4/5*z**3 + 16/5*z**2 + 0*z.
-4*z**2*(z - 4)/5
Let q(h) be the first derivative of -h**3/12 + h/4 + 8. Find n, given that q(n) = 0.
-1, 1
Let t(c) be the second derivative of c**8/80 - c**7/140 + c**3/3 + c. Let v(y) be the second derivative of t(y). Factor v(s).
3*s**3*(7*s - 2)
Let y(r) = r**3 - r**2 - r + 1. Let t be y(2). Let p(i) = -i**2 + 3*i + 3. Let d be p(t). Factor -9*m**4 + 2*m**3 + m**2 - 5*m**2 - 14*m**d.
-m**2*(3*m + 2)**2
Let w(z) be the second derivative of z**4/2 + 3*z**3/2 - 3*z**2 - 6*z. Factor w(i).
3*(i + 2)*(2*i - 1)
Let k(h) be the third derivative of -h**8/84 + 2*h**7/21 - h**6/3 + 2*h**5/3 - 5*h**4/6 + 2*h**3/3 - 8*h**2. Suppose k(c) = 0. Calculate c.
1
Factor 0 + 3/2*v**2 + 0*v - 3/4*v**3.
-3*v**2*(v - 2)/4
Let y(z) = 2*z**2 + 3*z + 1. Let f(u) = -u - 1. Suppose 0*a + a + 3 = 0. Let s(b) = a*f(b) - y(b). Factor s(g).
-2*(g - 1)*(g + 1)
Let v(s) be the third derivative of -s**6/2340 - s**3/2 + 2*s**2. Let d(n) be the first derivative of v(n). Factor d(z).
-2*z**2/13
Let r = 329 + -1642/5. What is d in 3/5*d - r*d**2 + 6/5 = 0?
-1, 2
Let z = 301 - 162. Let k = 975/7 - z. Find v such that 2/7 - 2/7*v**3 - 2/7*v**2 + k*v = 0.
-1, 1
Let p(s) = -s**3 - 2*s**2 + 4*s. Let y be p(-3). Let r = 3 + y. Let 2/9*z**4 - 2/9*z**2 + 2/9*z**5 - 2/9*z**3 + 0 + r*z = 0. What is z?
-1, 0, 1
Let 5/2*k + 2 + 5/4*k**3 - 23/4*k**2 = 0. Calculate k.
-2/5, 1, 4
Let h = -142 - -145. Let m(s) be the first derivative of 1/6*s**h + 1/12*s**2 + 1/30*s**5 + 0*s + 1/8*s**4 + 3. Determine u so that m(u) = 0.
-1, 0
Suppose -k = 3*k - 8. Suppose -2*m - j + 6*j = -131, -66 = -m + k*j. Factor h**2 - m + 2*h + 68.
h*(h + 2)
What is l in 0 + 0*l + 4/7*l**4 - 20/7*l**2 + 16/7*l**3 = 0?
-5, 0, 1
Let d(o) be the first derivative of -2*o**5/15 + o**4/3 - 2*o**3/9 - 40. Suppose d(s) = 0. What is s?
0, 1
Suppose -2*w + 8 = 3*f - 1, 5*w - 3*f + 9 = 0. Let m(t) be the third derivative of w*t**3 - 1/330*t**5 + 0 + 0*t - t**2 - 1/132*t**4. Factor m(h).
-2*h*(h + 1)/11
Let l = -102 - -1531/15. Let c(y) be the third derivative of -1/60*y**4 + y**2 + 1/150*y**5 + 1/300*y**6 + 0 + 0*y - l*y**3. Factor c(g).
2*(g - 1)*(g + 1)**2/5
Suppose -2*k - 2*k - 15 = r, -k + r = 0. Let v be (-7)/k - 3/9. Factor 5*n - 4*n - 8 - v*n**2 + 7*n.
-2*(n - 2)**2
Let x(h) be the third derivative of 2*h**7/35 - 3*h**6/40 - h**5/4 + 3*h**4/8 + h**3/2 - 7*h**2. Factor x(g).
3*(g - 1)**2*(g + 1)*(4*g + 1)
Let s = -907 + 907. Solve 4/5*i**2 + 0*i + s = 0 for i.
0
Let w(o) be the second derivative of -15*o**7/14 + o**6 + 11*o**5/4 - 5*o**4/3 - 10*o**3/3 + 10*o. Find q such that w(q) = 0.
-2/3, 0, 1
Let v(p) be the third derivative of p**7/2520 + p**6/180 + p**5/30 + p**4/12 - 3*p**2. Let b(m) be the second derivative of v(m). Determine h so that b(h) = 0.
-2
Suppose 4*i - 7 = 1. Determine t so that t + 3*t**2 + 3*t - 6*t**4 - 4*t**5 - i*t**4 + 5*t**2 = 0.
-1, 0, 1
Let n(m) be the first derivative of m**3/3 - 12. Factor n(u).
u**2
Let q(k) be the second derivative of -1/105*k**7 - 2/75*k**6 + 0*k**5 + 0 + 1/15*k**3 + k + 0*k**2 + 1/15*k**4. Find w, given that q(w) = 0.
-1, 0, 1
Let u(q) be the third derivative of 0 + 1/24*q**4 - 1/120*q**6 - 2/525*q**7 + 1/30*q**3 + 0*q + 1/100*q**5 - 2*q**2. Suppose u(x) = 0. What is x?
-1, -1/4, 1
Let a(z) be the second derivative of -2*z**7/7 + 4*z**6/15 + 4*z**5/5 - 2*z**4/3 - 2*z**3/3 - 66*z. Suppose a(y) = 0. What is y?
-1, -1/3, 0, 1
Let k be 10/4*(-16)/(-5). Factor -4*z + k + 4*z**4 + 0*z + z**3 - 10*z**2 + 0*z**3 + z**5.
(z - 1)**2*(z + 2)**3
Let l(m) be the third derivative of m**5/30 - m**4/3 + 5*m**2. Factor l(i).
2*i*(i - 4)
Let d = 1/28 - -5/56. Let s = 5/8 - d. Suppose -2*b + 1/2*b**4 + 3*b**2 - 2*b**3 + s = 0. What is b?
1
Determine y so that 294*y**2 - 10*y**4 + 11*y**4 + 1434 - 195*y - 1177*y + 967 - 28*y**3 = 0.
7
Solve 2/7*q - 8/7*q**2 - 2/7*q**3 + 0 + 8/7*q**4 = 0.
-1, 0, 1/4, 1
Let c(h) = 11*h**2 + 6*h - 8. Suppose -4 = -2*f + 2, 36 = 3*m + 4*f. Let r(a) = 0 - 4*a + 5 - 11*a**2 + 4*a**2. Let x(i) = m*r(i) + 5*c(i). Factor x(b).
-b*(b + 2)
Let u be (-5)/(-3)*12/4. Suppose -3*h - u*l + 11 = 0, -3*h - 2*h = -4*l - 6. Determine z, given that -z - 4*z + 3*z - 2*z**h