 + 6 - 12*c**2 - 1 + 3 = 0. What is c?
-2/3, 1
Let i(y) be the first derivative of -1/4*y**2 + 3 + 1/6*y**3 + 0*y. Factor i(s).
s*(s - 1)/2
Let o(x) be the second derivative of -x**7/1260 + x**6/180 - x**5/90 + x**3/3 + x. Let a(c) be the second derivative of o(c). Factor a(p).
-2*p*(p - 2)*(p - 1)/3
Let q(c) = 36*c**3 + 15*c**2 - 30*c. Let l(o) = 6*o**3 - 5*o**3 - 5*o**3 - 3*o**2 - 3*o**3 + 6*o. Let u(r) = 21*l(r) + 4*q(r). Factor u(x).
-3*x*(x - 1)*(x + 2)
Let u(m) be the third derivative of -2*m**7/105 + m**6/15 + 9*m**2. Determine h, given that u(h) = 0.
0, 2
Let n(j) be the second derivative of -2*j**7/105 + j**6/75 + 3*j**5/50 - j**4/30 - j**3/15 + 13*j. Suppose n(r) = 0. What is r?
-1, -1/2, 0, 1
Suppose -4*z - 40 = -40. Let o(v) be the second derivative of z*v**2 + 0 - 7/5*v**6 - 13/10*v**5 + 4/3*v**3 + 2*v**4 + 3*v. Solve o(l) = 0.
-1, -2/7, 0, 2/3
Let w(i) be the third derivative of i**8/336 - i**7/105 - i**6/60 + i**5/15 + i**4/24 - i**3/3 - 4*i**2. Factor w(j).
(j - 2)*(j - 1)**2*(j + 1)**2
Determine z, given that 30*z - 66*z**4 + 507/4*z**3 + 12*z**5 - 399/4*z**2 - 3 = 0.
1/4, 1, 2
Solve -160/3*y**3 + 4/3 + 8*y**2 + 32/3*y + 100/3*y**4 = 0.
-1/5, 1
Let g(y) be the third derivative of y**7/630 - y**6/120 + y**5/180 + y**4/24 - y**3/9 - 3*y**2. Factor g(a).
(a - 2)*(a - 1)**2*(a + 1)/3
Let f(q) be the second derivative of 1/48*q**4 - 3*q + 1/8*q**2 + 0 + 1/12*q**3. Solve f(z) = 0 for z.
-1
Suppose -13 + 14*k - 5 + 0 - 3*k**3 - 24*k**2 - 53*k = 0. What is k?
-6, -1
Determine k so that -2/3 - k**2 + 5/3*k - 1/3*k**3 + 1/3*k**4 = 0.
-2, 1
Let r(c) be the third derivative of c**6/1440 + c**5/240 + c**4/96 - c**3/2 - c**2. Let f(m) be the first derivative of r(m). Let f(n) = 0. What is n?
-1
Let v(s) be the first derivative of 14*s**5/25 + s**4/2 - 4*s**3/15 + 3. Find q such that v(q) = 0.
-1, 0, 2/7
Suppose -51*o = -93 - 60. Find a such that 3/2*a**4 + 3/2*a + 9/2*a**2 + 9/2*a**o + 0 = 0.
-1, 0
Let l(w) be the first derivative of 5*w**3/3 + 35*w**2/2 - 40*w + 20. Determine c, given that l(c) = 0.
-8, 1
Let r(v) be the second derivative of -v**4/20 + v**3/2 - 20*v. Factor r(q).
-3*q*(q - 5)/5
Let y = 9 - 16. Let t be 0 + 3/((-3)/y). Solve 2 + t*x**2 - 4*x**2 - 8*x + 5*x**2 = 0.
1/2
Let h(g) be the second derivative of g**7/14 + g**6/10 - 3*g**5/4 - g**4/4 + 4*g**3 - 6*g**2 - 2*g. Factor h(u).
3*(u - 1)**3*(u + 2)**2
Let k be (4/5)/(4/(-4 - -8)). Suppose 6/5 - 2/5*r**2 + k*r = 0. What is r?
-1, 3
Let w(j) be the second derivative of -3*j**5/110 + j**4/33 + j**3/33 + j - 6. Find c such that w(c) = 0.
-1/3, 0, 1
Let m(t) be the third derivative of -t**8/4200 + t**7/3150 - 5*t**4/24 + 9*t**2. Let k(d) be the second derivative of m(d). Factor k(b).
-4*b**2*(2*b - 1)/5
Let g(t) be the second derivative of -t**6/20 - 2*t**5/5 - 17*t**4/24 - t**3/3 - 20*t. Suppose g(i) = 0. Calculate i.
-4, -1, -1/3, 0
Let x(j) be the first derivative of -4*j + 1/5*j**5 + 2*j**2 - 1 - j**4 + j**3. Factor x(w).
(w - 2)**2*(w - 1)*(w + 1)
Let c(j) be the third derivative of j**7/1995 - j**5/570 + 48*j**2. Factor c(x).
2*x**2*(x - 1)*(x + 1)/19
Let c(s) = -4*s + 14*s**2 + 2*s + s**3 + 2 - 5*s - 8*s. Let o be c(-15). Factor 0*u + 2/3*u**3 + 0*u**o + 0.
2*u**3/3
Let o = 212/3 - 70. Let f(s) be the second derivative of 0*s**2 + s - 3/10*s**5 + 0 + 5/6*s**4 - o*s**3. Factor f(z).
-2*z*(z - 1)*(3*z - 2)
Let w = -154/5 + 31. Let d(c) be the first derivative of 1/4*c**4 + w*c**5 + 0*c - 3 - 1/2*c**2 - 1/3*c**3. Solve d(u) = 0 for u.
-1, 0, 1
Suppose 3 - 11 = -2*c. Find q such that -4*q**4 - 8*q**2 + 4*q**4 + 4*q**4 - 4*q**3 + 8*q**c = 0.
-2/3, 0, 1
Factor 3*o**2 - 3/7*o + 24/7*o**3 + 0.
3*o*(o + 1)*(8*o - 1)/7
Factor -60*g**4 + 4*g - 25*g - 14*g**5 - 11*g + 2*g - 100*g**3 - 80*g**2 - 4.
-2*(g + 1)**4*(7*g + 2)
Let z(m) be the first derivative of m**3/2 - 3*m**2/2 - 25. Factor z(i).
3*i*(i - 2)/2
Let m(s) be the second derivative of -4*s + 0*s**2 + 1/9*s**3 + 1/12*s**4 + 0 + 1/60*s**5. Factor m(z).
z*(z + 1)*(z + 2)/3
Suppose 3 = 3*v - 2*v - 2*q, -3*q = 0. Suppose 2 - 3/2*r**2 - 1/2*r**v + 0*r = 0. Calculate r.
-2, 1
Let x be 3/1*2/3. Find u, given that 4*u**2 + 4 - 4 - x*u**2 - 6*u = 0.
0, 3
Let p be 9/3 + (-4 - -1). Let f(j) be the second derivative of 23/6*j**4 + 4*j**2 - 2*j - 9/5*j**6 + 9/14*j**7 - 6*j**3 + 9/20*j**5 + p. Factor f(v).
(v - 1)*(v + 1)*(3*v - 2)**3
Suppose -5*l = r + 13, 0 = -2*r + 2*l + 12 - 2. Find k, given that 1/3*k**r + 2/3*k**3 - 1/3*k + 0 = 0.
-1, 0, 1/2
Let m(l) = l**3 - 8*l**2 - 2*l + 20. Let f be m(8). Suppose 5/7*h**f - 4/7 + 16/7*h - 2/7*h**3 - 15/7*h**2 = 0. What is h?
-2, 2/5, 1
Factor -9/2*w**2 - 2 - 6*w.
-(3*w + 2)**2/2
Let n be 10 - 28/49*14. Factor 0 + 2/11*u - 2/11*u**n.
-2*u*(u - 1)/11
Let t(n) be the third derivative of -n**6/6 + 2*n**5/15 + 5*n**4/6 - 4*n**3/3 - 12*n**2. Determine m, given that t(m) = 0.
-1, 2/5, 1
Let 51/8*p**3 + 0 - 3/2*p + 27/4*p**4 + 15/8*p**5 + 0*p**2 = 0. Calculate p.
-2, -1, 0, 2/5
Let a be (8/(-9))/((-1 + 2)/(-12)). What is y in -20/3*y + 37/3*y**2 + 4/3 - a*y**3 + 13/3*y**4 - 2/3*y**5 = 0?
1/2, 1, 2
Let l(p) be the first derivative of -2*p**3/15 - 4*p**2/5 - 8*p/5 + 23. Solve l(a) = 0 for a.
-2
Let o(k) be the third derivative of -1/330*k**5 - 1/1848*k**8 + 0 - 9*k**2 + 0*k + 1/1155*k**7 + 0*k**4 + 0*k**3 + 1/660*k**6. Solve o(m) = 0 for m.
-1, 0, 1
Let g(y) be the second derivative of 5*y**4/12 + 10*y**3/3 + 15*y**2/2 - 8*y. Let g(u) = 0. Calculate u.
-3, -1
Determine r, given that 98/3 - 14/3*r + 1/6*r**2 = 0.
14
Let b = -7 - -9. Suppose 5*y**2 + 0*y**2 - 8*y - 3*y**2 + 2*y**b = 0. Calculate y.
0, 2
Let m(d) be the second derivative of -d**6/10 + 3*d**5/20 + 10*d. Determine o so that m(o) = 0.
0, 1
Suppose 2*d = -d + 6. Let z(q) be the second derivative of 0*q**2 + 0*q**4 + 0 + 1/6*q**3 - 1/20*q**5 - d*q. Factor z(b).
-b*(b - 1)*(b + 1)
Let j(f) be the second derivative of f**10/40320 - f**9/12096 + f**8/13440 - f**4/6 + 2*f. Let a(v) be the third derivative of j(v). Find m such that a(m) = 0.
0, 2/3, 1
Let c(y) = 5*y**4 + 10*y**3 + 7*y**2. Let f(n) = 85*n**4 + 170*n**3 + 120*n**2. Let j(r) = 35*c(r) - 2*f(r). Factor j(i).
5*i**2*(i + 1)**2
Let q(u) be the first derivative of -u**6/36 - u**5/30 + 5. Find z such that q(z) = 0.
-1, 0
Suppose 72*d = 24*d + 96. Factor -8/13*l**d - 8/13*l**4 + 2/13*l**5 + 0 + 12/13*l**3 + 2/13*l.
2*l*(l - 1)**4/13
Let z be ((-2)/(-45))/((-2)/(-280)). Factor 76/9*j**2 + 16/9 + 50/9*j**3 + 16/9*j**4 + z*j + 2/9*j**5.
2*(j + 1)**2*(j + 2)**3/9
Let a(p) = 4*p + 0*p - 4*p**2 + 4 + 4*p + 10*p**2. Let k(h) = 5*h**2 + 7*h + 3. Let s(i) = 3*a(i) - 4*k(i). Factor s(y).
-2*y*(y + 2)
Let o(u) be the third derivative of -u**7/70 - 3*u**6/40 - u**5/10 + 6*u**2 - 1. Find j, given that o(j) = 0.
-2, -1, 0
Let t(p) be the third derivative of 1/231*p**7 + 2*p**2 + 0*p**4 - 1/165*p**6 + 0*p**3 + 0 + 1/616*p**8 + 0*p - 2/165*p**5. Solve t(f) = 0 for f.
-2, -2/3, 0, 1
Let l = 69 - 135/2. Factor l*t**2 - 1 - 1/2*t.
(t - 1)*(3*t + 2)/2
Let y(w) be the first derivative of w**6/2 + 33*w**5/20 + 27*w**4/16 + w**3/4 - 3*w**2/8 - 2. Factor y(q).
3*q*(q + 1)**3*(4*q - 1)/4
Let d(b) be the third derivative of -b**8/3360 - b**7/840 - b**6/720 + b**3/3 + 3*b**2. Let a(m) be the first derivative of d(m). Factor a(x).
-x**2*(x + 1)**2/2
Let z(d) be the second derivative of d**7/21 - d**5/5 + d**3/3 - d. Suppose z(x) = 0. Calculate x.
-1, 0, 1
Let w(l) be the second derivative of l**7/168 - l**6/4 + 9*l**5/2 - 45*l**4 + 270*l**3 - 972*l**2 - 59*l. What is y in w(y) = 0?
6
Let h = 41/98 + 4/49. Factor -1 - h*z + 1/2*z**2.
(z - 2)*(z + 1)/2
Let u(q) be the first derivative of 1/4*q**4 - 5/12*q**3 + 0*q - 6 - 1/20*q**5 + 1/4*q**2. Let u(d) = 0. Calculate d.
0, 1, 2
Let y(z) = 5*z**2 - z**3 + 8*z**2 - 5*z**2 + z - 3 - 3*z**2. Let p be y(5). Factor 6*d - 2 - 2*d**3 - d**p + 4*d**3 - 5*d**2 + 0*d.
2*(d - 1)**3
What is u in 0*u + 1/4 - 1/4*u**2 = 0?
-1, 1
Let c(h) be the second derivative of h**10/136080 - h**8/30240 - 5*h**4/12 + h. Let y(s) be the third derivative of c(s). Factor y(z).
2*z**3*(z - 1)*(z + 1)/9
Let u be ((-3)/1)/((819/28)/(-13)). Factor 2*o**3 + 0 + 14/3*o**2 + u*o.
2*o*(o + 2)*(3*o + 1)/3
Let h(a) be the second derivative of a**5/50 - 7*a**3/15 - 6*a**2/5 - 9*a. Factor h(g).
2*(g - 3)*(g + 1)*