1/15*y**3 + i. Determine v so that f(v) = 0.
-1, 0, 1
Let g(n) be the first derivative of n**3 + 54*n**2 + 972*n - 16. Factor g(p).
3*(p + 18)**2
Let a(d) be the first derivative of 0*d**2 - 4/3*d**3 - 3/32*d**4 + 4 + 0*d - 1/80*d**5 - 1/1440*d**6. Let p(r) be the third derivative of a(r). Factor p(s).
-(s + 3)**2/4
Suppose 2 + l**3 - 2 - 2*l**4 + l**5 = 0. What is l?
0, 1
Let t(y) = -7*y**4 + 6*y**3 - 7*y**2 + 18*y - 10. Let b(n) = -15*n**4 + 12*n**3 - 13*n**2 + 37*n - 21. Let m(u) = 6*b(u) - 13*t(u). Let m(g) = 0. What is g?
1, 2
Suppose -4*z - 2*g + 7 + 11 = 0, g = z - 3. Let -5*y**2 - 2*y + 2 - z - 5*y = 0. What is y?
-1, -2/5
Let k(z) be the first derivative of 3 - 1/9*z**6 - 16/9*z**3 + 7/3*z**2 + 4/15*z**5 + 1/3*z**4 - 4/3*z. Determine h, given that k(h) = 0.
-2, 1
Suppose -2*a + 10*a = 0. Suppose a*w + 0*w**3 + 8/5*w**2 - 4/5*w**4 - 4/5 = 0. What is w?
-1, 1
Let z be 7 + 3*(-4)/6. Find c such that -z*c**3 - 4*c**4 + 3*c**3 + 10*c**4 - 3*c**5 - c**3 = 0.
0, 1
Factor 1/2*f + 1/6*f**3 - 1/2*f**2 - 1/6.
(f - 1)**3/6
Let p(o) be the first derivative of 1/15*o**6 + 0*o**2 - 4/15*o**3 + 0*o - 5 - 1/10*o**4 + 4/25*o**5. Suppose p(s) = 0. Calculate s.
-2, -1, 0, 1
Let o(q) be the first derivative of -1/2*q**2 + 1/2*q + 1/6*q**3 - 1. Solve o(t) = 0.
1
Let s = -3 + 3. Suppose -5*n + 16 - 6 = s. Suppose 3*a**n - 3*a**2 + 4 + 2*a - 2*a**2 = 0. Calculate a.
-1, 2
Let u = 263/12 - 85/6. Let l = 8 - u. Factor 1/4*h**2 + l*h + 0.
h*(h + 1)/4
Let d(m) be the first derivative of -m**6/45 - 8*m**5/75 - 2*m**4/15 - 5. Suppose d(y) = 0. Calculate y.
-2, 0
Let m(c) be the second derivative of c**7/56 - c**6/10 + 3*c**5/20 + c**4/8 - 5*c**3/8 + 3*c**2/4 + 11*c. Factor m(y).
3*(y - 2)*(y - 1)**3*(y + 1)/4
Solve -32/9 - 4/9*y**3 - 8/3*y**2 - 16/3*y = 0.
-2
Let b = -2 - -8. Suppose 10 = 2*j + 5*r, -2*j - 4 = -5*r + b. Factor 1/2*g**4 + 6*g**2 - 4*g - 3*g**3 + j.
g*(g - 2)**3/2
Let n(l) be the second derivative of -l**5/80 + l**4/24 - l**3/24 + 5*l. Factor n(k).
-k*(k - 1)**2/4
Let y(x) be the first derivative of x**6/30 - x**4/20 - 4. Factor y(d).
d**3*(d - 1)*(d + 1)/5
Let r(h) = 2*h**4 - 11*h**3 - 3*h**2 + h + 1. Let d(f) = 2*f**4 - 12*f**3 - 4*f**2 + 2. Let y(i) = 5*d(i) - 6*r(i). Factor y(j).
-2*(j - 2)*(j - 1)**2*(j + 1)
Let w(n) = -n**2 + 11*n + 5. Let z(m) = 3*m**2 - 27*m - 12. Let j(i) = -12*w(i) - 5*z(i). Factor j(f).
-3*f*(f - 1)
Let q = 4 - 4. Let b be 51/108 - 1/4. Suppose -b*t**5 + 0*t**2 + q*t + 0*t**3 + 0 - 4/9*t**4 = 0. What is t?
-2, 0
Find d such that -41 - 2*d**2 - 52 - 5 + 28*d = 0.
7
Let j = 76 + -226/3. Determine r so that -j*r**2 - 8/3 - 8/3*r = 0.
-2
Suppose -19 = -5*n + 1. Let l(p) be the first derivative of -n*p**2 - 1 + 21/2*p**6 + 129/5*p**5 + 35/2*p**4 + 0*p - 4/3*p**3. Solve l(m) = 0 for m.
-1, -2/3, 0, 2/7
Let -2/5*s**2 - 2/5*s**3 + 8/5*s + 8/5 = 0. What is s?
-2, -1, 2
Let k(s) be the third derivative of 1/30*s**5 + 2*s**2 + 0 + 1/6*s**4 + 0*s**3 + 0*s. Find i, given that k(i) = 0.
-2, 0
Let l(c) be the second derivative of c**10/15120 + c**9/3780 + c**8/3360 + c**4/12 - c. Let i(w) be the third derivative of l(w). Factor i(q).
2*q**3*(q + 1)**2
Let 4/9*p + 0 - 4/3*p**2 = 0. Calculate p.
0, 1/3
Let v be 30/50 + (-136)/(-15). Let s(w) be the first derivative of -13/2*w**2 - 1 + v*w**3 + 9/5*w**5 + 2*w - 27/4*w**4. Factor s(i).
(i - 1)**2*(3*i - 2)*(3*i - 1)
Let k(y) = -y**5 - y**4 + y**3 - 9*y**2 + 10*y - 4. Let f(w) = 2*w**4 - w**2 + w. Let b(x) = -2*f(x) - k(x). Find v such that b(v) = 0.
-2, 1, 2
Let z(p) be the second derivative of -p**7/630 + p**6/45 - p**5/10 - p**4/3 + 2*p. Let k(o) be the third derivative of z(o). Factor k(u).
-4*(u - 3)*(u - 1)
Suppose -20*h = -22*h. Let y(c) be the second derivative of -1/100*c**5 + 0 + 1/150*c**6 - 1/60*c**4 + 1/30*c**3 + h*c**2 - c. Let y(p) = 0. What is p?
-1, 0, 1
Let l be 52/8 - (-2)/(-4). Let h = 9 - l. Find b such that 1/4*b - 4*b**2 - 13/2*b**4 - 7/4*b**5 + 1/2 - 17/2*b**h = 0.
-1, 2/7
Let i(s) be the second derivative of -s**6/90 - s**5/30 - s**4/36 - 8*s. Let i(x) = 0. Calculate x.
-1, 0
Let u = -62 + 62. Let m(q) be the third derivative of 2/21*q**3 - 1/84*q**4 - 1/210*q**5 + u - 2*q**2 + 0*q. Find w, given that m(w) = 0.
-2, 1
Let x = 161/1230 + -4/41. Let q(o) be the third derivative of 0*o + 0*o**3 - 1/24*o**4 - 1/120*o**6 - o**2 + 0 - x*o**5. Suppose q(l) = 0. Calculate l.
-1, 0
Let x be (-40)/18 + 2 - 12/(-54). Let w(a) be the second derivative of 2*a + 2/9*a**3 + 1/36*a**4 + x + 2/3*a**2. Let w(g) = 0. Calculate g.
-2
Let 43*o**3 + 45*o**3 - 84*o**3 = 0. What is o?
0
Let x(m) be the first derivative of -5*m**6/3 + 34*m**5/5 - 8*m**4 + 8*m**3/3 - 2. Determine c so that x(c) = 0.
0, 2/5, 1, 2
Let z(y) be the second derivative of -y**7/28 + y**6/10 - 3*y**5/40 - 28*y. Factor z(b).
-3*b**3*(b - 1)**2/2
Let k(w) = 5*w**3 - 23*w - 20. Let b(j) = 36*j**3 - 162*j - 141. Let o(a) = -2*b(a) + 15*k(a). Suppose o(d) = 0. What is d?
-2, -1, 3
Suppose 0 = v + l + 3, -28*v + 33*v + 2*l = 0. Find q, given that 0*q + 1/3*q**v + 1/3*q**3 + 0 = 0.
-1, 0
Let o be 1 - (4/(-14))/(3/(-7)). Let y(z) be the first derivative of o*z**3 - 2 + 0*z**2 - z. Solve y(p) = 0 for p.
-1, 1
Let i(k) be the second derivative of k**5/120 - k**3/36 + 3*k. Let i(c) = 0. Calculate c.
-1, 0, 1
Let m be (32/(-4))/(2/(-4)). Let z be 4/m - 26/(-24). Factor -2*v - 2/3*v**2 - z.
-2*(v + 1)*(v + 2)/3
Let h be 7/3 + 4/(-12). Factor -4*w**3 + 0*w**h + 13*w**2 - 9*w**2.
-4*w**2*(w - 1)
Factor -2/5*s - 6/5*s**2 + 0 + 8/5*s**3.
2*s*(s - 1)*(4*s + 1)/5
Let t(l) be the first derivative of l**6/3 + 2*l**5/5 - 3*l**4/2 - 10*l**3/3 - 2*l**2 - 16. Suppose t(s) = 0. Calculate s.
-1, 0, 2
Let l(p) be the third derivative of p**5/20 + p**4/3 - p**3/2 + 9*p**2. Factor l(x).
(x + 3)*(3*x - 1)
Let t = -10 - -14. Let q be (5/(-3))/(5/(-15)). What is d in -d**2 - d**q + d**3 + 2*d**t - 2*d**4 + d**4 = 0?
-1, 0, 1
Let m(i) be the first derivative of -2*i**3/39 - 3*i**2/13 - 4*i/13 + 5. Factor m(r).
-2*(r + 1)*(r + 2)/13
Solve -32/3 + 16/3*w - 2/3*w**2 = 0.
4
Let g(z) be the first derivative of -z**6/18 - 2*z**5/15 - z**4/36 + z**3/9 + 3*z + 2. Let p(n) be the first derivative of g(n). Factor p(j).
-j*(j + 1)**2*(5*j - 2)/3
Let q = -9/7 - -52/35. Factor -1/5*k + 0*k**2 - q*k**5 + 0 + 0*k**4 + 2/5*k**3.
-k*(k - 1)**2*(k + 1)**2/5
Let x = 247494/151 - 1639. Let z = 3191/604 - x. Factor -1/4 + 3/2*s**2 + 5/2*s**3 - z*s**4 - 3/4*s + 9/4*s**5.
(s - 1)**3*(3*s + 1)**2/4
Let r(c) be the first derivative of c**5/180 - c**4/36 + 3*c**2/2 - 3. Let l(b) be the second derivative of r(b). Factor l(q).
q*(q - 2)/3
Suppose 7*o = 8*o. Suppose -h + 4 = 4*g - 1, -g - h = 1. Factor 0 + 2/7*c**3 + o*c**g + 0*c.
2*c**3/7
Let y = -7 + 10. Let u = y - 1. Factor -2/9*d + 2/9 - 4/9*d**u + 2/9*d**4 - 2/9*d**5 + 4/9*d**3.
-2*(d - 1)**3*(d + 1)**2/9
Let p = 10225/13644 - -2/3411. Suppose p*o**2 + 1/2*o + 1/4*o**3 + 0 = 0. What is o?
-2, -1, 0
Solve -3/4*u**2 + 3/4 + 9/4*u - 9/4*u**3 = 0 for u.
-1, -1/3, 1
Let i(m) = 15*m**3 - 15*m. Let l(j) = -j**3 + j. Let b(t) = 6*i(t) + 85*l(t). Factor b(p).
5*p*(p - 1)*(p + 1)
Let n(u) be the second derivative of -u**4/8 + u**3/2 - 16*u. Factor n(d).
-3*d*(d - 2)/2
Let u be (-77)/(-49) + (-6)/(-14). Let -2/11*p**3 + 2/11*p**4 + 0 - 2/11*p**u + 2/11*p = 0. Calculate p.
-1, 0, 1
Let f(p) be the third derivative of -p**6/30 - p**5/15 + p**4 + 2*p**2 - 2*p. Factor f(a).
-4*a*(a - 2)*(a + 3)
What is v in v**3 - 1215*v + 0*v**3 + 1214*v = 0?
-1, 0, 1
Let t(v) = -6*v**3 - 24*v**2 - 72*v - 51. Let m(a) = -13*a**3 - 47*a**2 - 144*a - 103. Let p(f) = -3*m(f) + 7*t(f). Find d, given that p(d) = 0.
-4, -1
Let s(u) be the third derivative of -5*u**8/336 + u**6/6 + u**5/6 - 5*u**4/8 - 5*u**3/3 + 7*u**2. Factor s(k).
-5*(k - 2)*(k - 1)*(k + 1)**3
Let v(t) = 6*t**2 - 9*t - 3. Let i(d) = d**2 - d - 1. Let z(s) = 3*i(s) - v(s). Factor z(a).
-3*a*(a - 2)
Let v = 8 + -8. Let a(u) be the third derivative of 0*u + 1/150*u**6 + 2*u**2 - 1/150*u**5 - 1/525*u**7 + 0*u**3 + 0*u**4 + v. Factor a(n).
-2*n**2*(n - 1)**2/5
Let t = -1 - -4. Let d(y) be the first derivative of 1/12*y**6 + 2/3*y**t + 2/5*y**5 + 3/4*y**4 + 0*y - 3 + 1/4*y**2. Factor d(p).
p*(p + 1)**4/2
Let z = -13288 - -3521316/265. Let v = 2148/1855 + z. Factor v*q + 2/7*q**2 + 8/7.
2*(q + 