+ a*y**3 - 6 - 27/2*y**2 + 15*y = 0 for y.
1, 2
Determine w so that 93/2*w**4 + 0*w + 2*w**2 + 56/3*w**3 + 0 + 27/2*w**5 = 0.
-3, -2/9, 0
Let a(w) = -w**3 - w**2 - 6. Let u(l) = 3 + 1 - 3. Let p(n) = 4*n - 81. Let b be p(20). Let t(g) = b*a(g) - 6*u(g). Find j, given that t(j) = 0.
-1, 0
Let a be (1274 + -1275)/((-6)/2). Solve 1 - a*c**2 + 2/3*c = 0.
-1, 3
Let k(h) be the first derivative of h**5/150 + h**4/60 + 33*h**2/2 - 2. Let i(s) be the second derivative of k(s). Let i(r) = 0. What is r?
-1, 0
Suppose -3*p + 159 = 4*s + 129, p - 5*s + 28 = 0. Let z be (8/(-9))/(4/(-6)). Factor 0 + 2/3*f**3 + z*f - 2*f**p.
2*f*(f - 2)*(f - 1)/3
Determine k so that 179*k - 18*k**2 - 2*k**4 - 39*k**2 + 13*k**2 - 59*k + 144 - 22*k**3 = 0.
-6, -1, 2
Suppose -18 + 26 = -o. Let m be (o/6)/(-2*(-1)/(-3)). Factor -4/5 - 2/5*i**m + 6/5*i.
-2*(i - 2)*(i - 1)/5
Let j = 132/145 - -20/29. Let y(f) be the first derivative of 14 + 2/5*f**3 - j*f + 0*f**2 - 1/10*f**4. Let y(h) = 0. Calculate h.
-1, 2
Let i be 5 + (12/10)/(18/(-45)). Factor 26*c - 6*c - 4*c**2 - 4*c**2 + 20 + 13*c**i.
5*(c + 2)**2
Let x = 4 + -5. Let b(j) = 2*j + 7. Let y be b(x). Suppose -6/5*p**4 + 0*p**2 + 3/5*p**3 - 9/5*p**y + 0 + 0*p = 0. Calculate p.
-1, 0, 1/3
Solve 4*o**3 + 24*o**2 + 12*o**3 - 2*o**4 - 2*o**4 - 40*o**2 = 0.
0, 2
Let a be ((-54)/60)/((27/15)/(-3)). Factor 1 - 3/2*t - 1/2*t**2 - 1/2*t**4 + a*t**3.
-(t - 2)*(t - 1)**2*(t + 1)/2
Let r = 11 + -6. Let w = -1859 - -9299/5. Factor -w*f**2 + 2/5*f**r - 8/5*f**4 + 0*f + 0 + 2*f**3.
2*f**2*(f - 2)*(f - 1)**2/5
Let z(h) be the third derivative of -h**7/630 + h**6/360 + h**5/45 - h**4/18 - 340*h**2 + h. What is k in z(k) = 0?
-2, 0, 1, 2
Let j = -742/9 - -9664/117. Find u, given that 0*u - 2/13*u**2 + j = 0.
-1, 1
Suppose 8 = -z + 5*z - 4*d, z + 3 = 2*d. Suppose o = z*o - 12. Suppose 1/3 - 1/3*f**o + 0*f = 0. Calculate f.
-1, 1
Let v(b) = -3*b**2 - b + 2. Let w(x) = 3*x**2 - 1 - x**2 - x - 8*x**2 + 7*x**2. Let y(s) = -3*v(s) - 6*w(s). What is r in y(r) = 0?
-3, 0
Suppose -8/3 - 2*w + 2/3*w**2 = 0. What is w?
-1, 4
Let d = -682/3 + 2737/12. Factor d*k**2 - 3/4 + 3/4*k**3 - 3/4*k.
3*(k - 1)*(k + 1)**2/4
Let i = -27959/300 + 466/5. Let l(k) be the third derivative of 1/120*k**4 + 0 + i*k**5 + 0*k - 1/15*k**3 - 2*k**2. Determine d, given that l(d) = 0.
-2, 1
Let n(a) be the second derivative of -2*a**6/15 - 23*a**5/5 - 40*a**4 + 96*a**3 - 63*a - 4. Factor n(m).
-4*m*(m - 1)*(m + 12)**2
Let c(j) be the third derivative of -2*j**7/105 - 33*j**6/5 - 9601*j**5/15 + 3300*j**4 - 20000*j**3/3 + 566*j**2. Let c(x) = 0. What is x?
-100, 1
Let o(v) be the second derivative of -v**4/18 - 122*v**3/9 - 121*v**2/3 - 1006*v. Factor o(a).
-2*(a + 1)*(a + 121)/3
Let b = -104 + 113. Solve -7*h**2 - 13*h - b + 23*h - 25*h - h**3 = 0 for h.
-3, -1
Suppose 0 = 3*g + 2*g - 2*h - 10, 0 = -4*g + 3*h + 8. Let d = g - -12. Suppose 5*z + 9*z + d*z - 4*z**4 + 0*z**4 - 36*z**2 + 20*z**3 - 8 = 0. Calculate z.
1, 2
Let r(z) be the second derivative of 0 - 3*z**2 - 14*z + 1/2*z**4 - 3/20*z**5 + 1/2*z**3. Factor r(f).
-3*(f - 2)*(f - 1)*(f + 1)
Let l(a) = a**2 - 4*a - 1. Let f(h) = 2*h**3 - 12*h**2 - 6. Let p be f(6). Let q(m) = 3*m**2 - 13*m - 4. Let w(u) = p*q(u) + 21*l(u). Factor w(r).
3*(r - 1)**2
Let h(j) be the third derivative of j**8/2856 + j**7/1785 - j**6/1020 - j**5/510 + 40*j**2. Find v, given that h(v) = 0.
-1, 0, 1
Factor -1/6*z**3 - 7/2*z + 3 + 4/3*z**2.
-(z - 3)**2*(z - 2)/6
Let d = -1 - -1. Let b(s) = -s**2 + 228*s - 2176. Let v be b(10). Factor -2/13*i**v + d + 2/13*i**3 + 2/13*i**2 - 2/13*i.
-2*i*(i - 1)**2*(i + 1)/13
Factor 1/2*v**5 + 0*v + 0*v**4 + 0*v**2 - 2*v**3 + 0.
v**3*(v - 2)*(v + 2)/2
Let n(m) be the third derivative of m**5/120 - 13*m**4/48 - 7*m**3/6 + 5*m**2 + 5. Factor n(w).
(w - 14)*(w + 1)/2
Solve 3/5*g**2 + 81/5*g + 30 = 0 for g.
-25, -2
Solve 0 + 30*y**2 - 6*y**3 - 8*y - 7/2*y**4 = 0.
-4, 0, 2/7, 2
Let m(f) be the first derivative of -4*f**3/3 - 4*f**2 - 28. Factor m(x).
-4*x*(x + 2)
Let l(i) be the third derivative of 1/945*i**7 - 5/108*i**4 - 1/90*i**5 + 7*i**2 + 0*i + 0 + 1/540*i**6 - 2/27*i**3. Factor l(d).
2*(d - 2)*(d + 1)**3/9
Suppose 2*t = 5*t - d - 13, 3*t = 5*d + 17. Solve -6 + x + t*x**2 + 2*x - 3*x**3 + 5*x**2 - 3*x**2 = 0.
-1, 1, 2
Let a(z) = -z**3 + 7*z**2 + 4*z + 32. Let t be a(8). Let v(u) be the second derivative of 4*u + t - 1/18*u**3 + 1/36*u**4 - 1/3*u**2. Factor v(h).
(h - 2)*(h + 1)/3
Let x(j) be the third derivative of -j**5/160 - j**4/64 + 15*j**3/8 - 169*j**2. Solve x(u) = 0 for u.
-6, 5
Let i(k) be the third derivative of -k**5/15 - 13*k**4/6 - 8*k**3 - 9*k**2 - 4*k. Factor i(u).
-4*(u + 1)*(u + 12)
Let g(m) = m**2 - m. Let a = 18 - 36. Let f = a - -16. Let u(v) = -2*v**4 + v**3 + v. Let d(s) = f*g(s) - u(s). Factor d(x).
x*(x - 1)*(x + 1)*(2*x - 1)
Let i(c) be the third derivative of c**7/42 + c**6/8 - 2*c**5/3 - 5*c**4/2 + 40*c**3/3 - 128*c**2. Find l, given that i(l) = 0.
-4, -2, 1, 2
Let f(z) = 10*z**2 + 3*z + 2. Let j be f(-1). Let t(q) be the second derivative of -5/4*q**4 + 0 + 4*q - 13/2*q**3 + j*q**2. Factor t(i).
-3*(i + 3)*(5*i - 2)
Let u(o) be the third derivative of o**7/5040 + o**6/720 + o**5/240 + 23*o**4/24 - 17*o**2. Let c(d) be the second derivative of u(d). Let c(g) = 0. What is g?
-1
Let t(p) be the third derivative of p**11/582120 - p**10/132300 + p**9/105840 - p**5/5 - 31*p**2. Let y(w) be the third derivative of t(w). Solve y(h) = 0.
0, 1
Let l(m) = -3*m**3 - 2*m. Let p(v) = -33*v**3 + 36*v**2 - 24*v. Let q(o) = -12*l(o) + p(o). What is r in q(r) = 0?
-12, 0
Suppose -x + 30 = 4*x. Let w(p) = -2*p**2 + 9*p + 20. Let d be w(x). Factor 2/5*k**5 + 0 + 16/5*k**3 - d*k**4 + 0*k - 8/5*k**2.
2*k**2*(k - 2)**2*(k - 1)/5
Let a(x) = 13*x**5 + x**4 - 12*x**3 + 7*x. Let p(q) = -4*q**5 + 4*q**3 - 2*q. Suppose -11*b + 15*b - 16 = 0. Let y(o) = b*a(o) + 14*p(o). Factor y(i).
-4*i**3*(i - 2)*(i + 1)
Let -53*o**2 - 89*o**2 + 12*o**2 - 336*o - 456*o - 32*o**2 - 968 = 0. Calculate o.
-22/9
Let r(x) = -10*x**2 + 82*x + 974. Let w(z) = -8*z**2 + 83*z + 973. Let d(y) = 5*r(y) - 6*w(y). Factor d(a).
-2*(a + 22)**2
Let -8*d**2 + 4*d + 267 - 267 + 4*d**3 = 0. Calculate d.
0, 1
Let m(x) = x**3 + 12*x**2 - 11*x + 30. Let l be m(-13). Factor -4*j**4 + 2*j**3 - 15 - 60*j**2 + 16*j**3 - j**l + 50*j + 12*j**3.
-5*(j - 3)*(j - 1)**3
Let r(d) be the second derivative of 2*d**6/15 + 4*d**5/5 + 2*d**4 + 8*d**3/3 + 2*d**2 - 12*d + 9. Factor r(u).
4*(u + 1)**4
Let b = -319 + 322. Let r(a) be the second derivative of 0*a**4 + 0 - 1/10*a**5 + 1/3*a**b + 7*a + 0*a**2. Solve r(y) = 0.
-1, 0, 1
Let s(i) = -3*i**5 + 6*i**4 - 3*i**3 + 6*i - 6. Let a = -2 - 4. Let g(h) = h**4 - h**3 + h - 1. Let j(q) = a*g(q) + s(q). Factor j(w).
-3*w**3*(w - 1)*(w + 1)
Let p be (-10)/(-35) + -1 + 3757/7. Let q = 3760/7 - p. Solve 2/7*k**2 + 8/7*k + q = 0.
-2
Let l(s) be the second derivative of -s**5/100 - s**4/12 - 331*s. Suppose l(p) = 0. What is p?
-5, 0
Let g = -30/13 - -283/117. Let u(z) be the second derivative of -1/108*z**4 + 0 - z - 1/54*z**3 + g*z**2. Factor u(a).
-(a - 1)*(a + 2)/9
Let x(n) be the first derivative of -4*n**3 - 1070*n**2 - 712*n - 364. Solve x(r) = 0 for r.
-178, -1/3
Let a = -4421 + 4421. Find j, given that -1/8*j - 1/8*j**2 + a = 0.
-1, 0
Let i(m) = 5*m - 2. Let h be i(1). Let n(j) = -2*j - 4. Let u be n(-4). Factor k + 4*k**h + 4 - 5*k + 0*k**3 - 3*k**2 + 0*k**u - k**4.
-(k - 2)**2*(k - 1)*(k + 1)
Let d(h) be the second derivative of 0*h**2 + 22*h + 0 + 2/5*h**5 + 0*h**3 + 1/3*h**4 - 2/5*h**6. Factor d(s).
-4*s**2*(s - 1)*(3*s + 1)
Suppose -a = -4*t - 4, -2*a + 3*t - 8 = -4*a. Let c = -6 - -6. Factor c - 2/7*u**a + 2/7*u**3 - 2/7*u**5 + 2/7*u**2 + 0*u.
-2*u**2*(u - 1)*(u + 1)**2/7
Let d be 136/(-36) - (2 + -6). Factor 0 - 22/9*z**2 + 4/3*z**3 + 4/3*z - d*z**4.
-2*z*(z - 3)*(z - 2)*(z - 1)/9
Let z(l) be the first derivative of -l**6/480 - 7*l**5/240 - 17*l**2/2 - 15. Let n(f) be the second derivative of z(f). Factor n(x).
-x**2*(x + 7)/4
Suppose 7 = 2*c - 11. Suppose -c = 10*u - 13*u. Find j, given that -19*j + 15*j**2 + 6*j - 8*j + j**3 - 4*j**u + 9 = 0.
1, 3
Factor -3180*r**5 + 30*r**4 + 11*r**3 + 49*r**3 + 40*r**2 + 3185*r**5.
5*r**2*(r + 2)**3
Suppose 5*l**4 - 12*l**2 - 13*l**3 - 120*l - 97*l**3 - 223*l**2 = 0. Calculat