2*v**3 + 1449*v**2/2 - 1323*v - 290. Factor l(p).
3*(p - 7)**3*(p - 3)**2/7
Let f(p) = -p**3 - p**2 - 1. Let x(d) = -12*d**3 - 33*d**2 - 121*d - 11. Let g(n) = -22*f(n) + 2*x(n). Factor g(h).
-2*h*(h + 11)**2
Suppose -188 + 20*o + o**2 + 55*o - 6*o**2 + 58 = 0. Calculate o.
2, 13
Let x(u) = u**3 - 8*u**2 - 7*u - 127. Let k be x(10). Let j(d) be the first derivative of -16/3*d**k + 4*d**4 + 0*d**2 + 12/5*d**5 + 0*d - 8. Factor j(o).
4*o**2*(o + 2)*(3*o - 2)
Suppose -4*u + 4*g = -u - 29, 2*u = -3*g - 9. Suppose -12 = -3*o + 3*p, o - 4*p = 6*o - 11. Find q, given that 4*q**2 + 12*q**3 - 5*q**3 - 4*q**u - 5*q**o = 0.
0, 2
Let k(h) = h**2 - 3*h + 2. Let a = 3 + 0. Let x be k(a). Determine y, given that 2*y**2 + y**2 - 2*y**x + y**2 = 0.
0
Factor 136/7 + 4/7*f**2 - 76/7*f.
4*(f - 17)*(f - 2)/7
Let h be ((-2)/(-4)*15/(-45))/(72/(-324)). Factor -3/8*a**3 + h - 3/4*a**2 + 3/8*a.
-3*(a - 1)*(a + 1)*(a + 2)/8
What is d in -2*d**3 + 5/4*d**2 + 25/2*d + 1/4*d**4 + 0 = 0?
-2, 0, 5
Solve 3/2*b + 0 + 1/4*b**2 = 0.
-6, 0
Find x, given that -1/8*x**2 - 77/4*x - 5929/8 = 0.
-77
Factor -77*l**2 + 22*l + 91*l**2 + 4*l + 12 + l**4 - 3*l**4 - 2*l**3.
-2*(l - 3)*(l + 1)**2*(l + 2)
Let j(t) be the first derivative of -9 + 3/4*t**2 + 1/3*t**3 - 1/8*t**4 + 0*t. Solve j(p) = 0 for p.
-1, 0, 3
Solve -2*m + 2/5*m**4 + 2/5*m**3 - 6/5*m**2 - 4/5 = 0.
-1, 2
Let l(q) be the second derivative of -q**7/672 + q**6/96 + 2*q**3 - 6*q. Let v(j) be the second derivative of l(j). Factor v(m).
-5*m**2*(m - 3)/4
Let m(k) = 2*k**2 + 4*k + 2. Let x be m(-2). Factor 35*z**3 + 3*z**4 - 2*z**x - 41*z**3 + 2*z**2.
3*z**3*(z - 2)
Suppose 2*f + 6 = 4*f. Let a be ((-150)/140 - f/7)*-2. Factor -2/3*q**5 - 10/3*q**2 + 2*q**a + 2/3*q**4 + 4/3*q + 0.
-2*q*(q - 1)**3*(q + 2)/3
Let q(z) be the second derivative of -z**7/525 - 2*z**6/75 - 8*z**5/75 + 4*z**2 + 9*z. Let s(x) be the first derivative of q(x). Factor s(n).
-2*n**2*(n + 4)**2/5
Find u such that 479/4*u**3 + 529 + 1/4*u**5 - 709/4*u**2 + 45/4*u**4 - 483*u = 0.
-23, -2, 1, 2
Let n(d) be the first derivative of 4*d**3/3 + 26*d**2 + 160*d - 561. Determine p, given that n(p) = 0.
-8, -5
Let o(v) = 12 - 30*v**2 + 29*v**2 + 21 + 7*v. Let m be o(10). Factor -3/2*s**m + 3/2 - 3/2*s**2 + 3/2*s.
-3*(s - 1)*(s + 1)**2/2
Let b(r) = -r**3 - r**2 - r. Let v(u) = -u**3 - 49*u**2 + 99*u - 64. Let z(i) = 5*b(i) - v(i). Solve z(c) = 0.
1, 2, 8
Suppose -297 - 5*p - 7*p + 2*p**2 + 307 = 0. What is p?
1, 5
Suppose -5*t - 15 = -10*t. Determine r, given that 5*r**2 - 48*r + 53*r - 1 - t*r**3 - 2*r**3 - 4 = 0.
-1, 1
Let f be (11 + -8)*((-32)/(-6) - 2). Suppose -p - n + 1 = 0, 4*p - f + 3 = -n. Determine a so that -4/7*a**p - 2/7 - 5/7*a - 1/7*a**3 = 0.
-2, -1
Let s = 95 + -1426/15. Let a = s - -11/15. Suppose v + 1/3*v**2 + a = 0. Calculate v.
-2, -1
Let y(o) be the second derivative of 3*o**6/10 - 7*o**5/20 - 5*o**4/3 - 2*o**3/3 + 3*o + 62. Find l, given that y(l) = 0.
-1, -2/9, 0, 2
Suppose 142/5*s + 72/5*s**2 + 2/15*s**3 + 212/15 = 0. What is s?
-106, -1
Let i(t) be the second derivative of -t**5/16 - 355*t**4/48 - 255*t**3 + 810*t**2 + 2*t + 15. Factor i(v).
-5*(v - 1)*(v + 36)**2/4
Suppose -5*d - 19*g + 21*g - 8 = 0, 0 = d + g - 4. Suppose -5/2*f**2 + d*f**4 + 5/2 + 5*f**3 - 5/4*f**5 - 15/4*f = 0. What is f?
-2, -1, 1
Let s(r) be the third derivative of -r**9/136080 - r**8/45360 + r**7/5670 - r**5/20 - 25*r**2. Let m(y) be the third derivative of s(y). Factor m(j).
-4*j*(j - 1)*(j + 2)/9
Let m be (-2)/(-9) - 101/9. Let g(a) = a + 15. Let o be g(m). Factor -4*v**4 + v**3 - 2*v**o + v**2 - v**5 + 5*v**4.
-v**2*(v - 1)*(v + 1)**2
Let u be ((342/(-156))/57)/((1/(-4))/1). Suppose u*n**2 - 8/13*n + 0 = 0. Calculate n.
0, 4
Let c be (2 + 4)*1/3. Let f(b) = 26*b**3 - 4*b**2 - 11*b + 11. Let u(t) = -5*t**3 + t**2 + 2*t - 2. Let o(g) = c*f(g) + 11*u(g). Suppose o(r) = 0. Calculate r.
0, 1
Let q(v) be the first derivative of -v**6/12 + 2*v**5/5 - 5*v**4/8 + v**3/3 - 328. Factor q(l).
-l**2*(l - 2)*(l - 1)**2/2
Suppose 24*v + 9 = 30*v - 3. Factor -4/5*y - 1/5*y**v + 0.
-y*(y + 4)/5
Let t(y) be the first derivative of -2*y**6/3 - 12*y**5/5 + 10*y**4 + 80*y**3/3 - 48*y**2 - 128*y + 4. Suppose t(a) = 0. Calculate a.
-4, -2, -1, 2
Factor -52*p + 7*p - 2122*p**3 + 2127*p**3 + 40*p**2.
5*p*(p - 1)*(p + 9)
Let n(c) = -c**2 - 11*c - 4. Let l = -27 - -22. Let i be n(l). Factor 8 + 4*q**2 - 2 + 22*q - i*q - 6*q**2.
-2*(q - 1)*(q + 3)
Let j(q) be the first derivative of q**7/210 - q**6/10 - 38*q**3/3 - 25. Let a(x) be the third derivative of j(x). Let a(p) = 0. What is p?
0, 9
Suppose 2/7*m**2 + 6/7 - 8/7*m = 0. What is m?
1, 3
Let b(k) be the third derivative of 1/336*k**8 + 1/24*k**4 + 1/30*k**5 - 1/60*k**6 - 1/6*k**3 + 0 + 3*k**2 + 0*k - 1/210*k**7. Factor b(u).
(u - 1)**3*(u + 1)**2
Factor 43923/7 - 726/7*s + 3/7*s**2.
3*(s - 121)**2/7
Suppose 3*j + 4*n = 3*n - 4, 0 = 3*j - 5*n + 16. Let f be (j + 96/45)*(-200)/(-32). Factor -f*l**4 + 1/3*l - 7/6*l**2 + 0 + 1/6*l**5 + 3/2*l**3.
l*(l - 2)*(l - 1)**3/6
Factor -5/3*i**3 - 85/3*i**2 - 455/3*i - 245.
-5*(i + 3)*(i + 7)**2/3
Let s(f) be the third derivative of -f**7/5040 + f**6/2160 + f**5/720 - 17*f**4/24 - 5*f**2. Let p(u) be the second derivative of s(u). Factor p(x).
-(x - 1)*(3*x + 1)/6
Let o(h) = h - 3. Let x be o(10). Solve 2 + 7*n + x*n + 6*n**2 - 20*n - 2*n**3 = 0.
1
Suppose -5*m + 31 = 3*j + 45, 0 = 4*j + 2*m. Factor -4/3*z - j*z**2 + 0 - 2/3*z**3.
-2*z*(z + 1)*(z + 2)/3
Let g(x) be the third derivative of -x**4/12 + 4*x**3 - 6*x**2. Let c be g(12). Factor 8/7*n + 8/7*n**2 + c + 2/7*n**3.
2*n*(n + 2)**2/7
Let s(b) be the first derivative of -b**6/20 - 9*b**5/40 - b**4/4 - 5*b - 9. Let g(c) be the first derivative of s(c). Factor g(q).
-3*q**2*(q + 1)*(q + 2)/2
Let k(l) be the second derivative of l**5/180 + l**4/72 - l**3/3 - 5*l**2/2 + 25*l. Let x(c) be the first derivative of k(c). Factor x(t).
(t - 2)*(t + 3)/3
Let c be 12/(-15)*(-2)/4. Let t(h) = -3*h**3 - 21*h**2 + h + 7. Let n be t(-7). Factor n*w + 2/5*w**2 - c.
2*(w - 1)*(w + 1)/5
Factor 988*x - 155/4*x**2 + 3/8*x**3 + 676.
(x - 52)**2*(3*x + 2)/8
Suppose -30*d + 2*a = -29*d + 12, -d - 2*a = -16. Find x, given that 0*x**d + 0 + 0*x - 2/7*x**4 + 2/7*x**3 = 0.
0, 1
Let w = -74 + 84. Suppose -4*g = -w - 2. Solve z**g + 0*z - 1/3*z**5 - 2/3*z**2 + 0 + 0*z**4 = 0.
-2, 0, 1
Let n(s) = s**3 - s**2 + s. Let h(z) be the second derivative of 17*z**5/20 - 73*z**4/12 + 17*z**3/3 - 2*z**2 + 17*z. Let o(w) = 3*h(w) - 3*n(w). Factor o(x).
3*(x - 4)*(4*x - 1)**2
Let z(k) be the third derivative of 5*k**7/14 - 3*k**6 - 54*k**5/5 + 28*k**4 - 24*k**3 + 54*k**2. Let z(j) = 0. What is j?
-2, 2/5, 6
Suppose 0 = -3*f - 16 + 1. Let o = 10 + f. Suppose d**3 - d**5 + 0*d**o + 2*d**5 - 2*d**4 = 0. What is d?
0, 1
Let h be (-24)/(-180) - (-32)/(-15). Suppose 4*z + 18 = 3*z. Let a(b) = -b**3 + 2*b**2 + 9. Let i(x) = -1. Let y(l) = h*a(l) + z*i(l). Factor y(n).
2*n**2*(n - 2)
Let m be ((-6)/(-10))/(-8 - (-205)/25). Factor -7*f - 17*f**4 + 13*f**4 + 4*f**2 - f + 0*f**3 + 8*f**m.
-4*f*(f - 2)*(f - 1)*(f + 1)
Let t(o) be the third derivative of -o**8/336 - o**7/21 + 11*o**6/120 + 975*o**2. Factor t(j).
-j**3*(j - 1)*(j + 11)
Let o(w) be the first derivative of 32*w**5/35 + 20*w**4/7 + 24*w**3/7 + 2*w**2 + 4*w/7 + 80. Find b such that o(b) = 0.
-1, -1/2
Let f(x) be the first derivative of -1/2*x**4 - 1/3*x**3 - 1/10*x**5 + 3/2*x + x**2 - 14. Factor f(c).
-(c - 1)*(c + 1)**2*(c + 3)/2
Let r(o) be the third derivative of -o**5/120 + 17*o**4/24 - 11*o**3/4 - 2*o**2 + 40*o. Factor r(t).
-(t - 33)*(t - 1)/2
Determine t, given that 2/3 + 0*t - 4*t**2 - 2*t**4 + 16/3*t**3 = 0.
-1/3, 1
Let i = 58 + -57. Factor -4*v**2 - i - 5 - 3*v**3 + 0 + 13*v.
-(v - 1)*(v + 3)*(3*v - 2)
Let s(j) be the second derivative of j**9/24192 + j**8/13440 - 13*j**3/6 - j. Let x(r) be the second derivative of s(r). Factor x(o).
o**4*(o + 1)/8
Let u(q) = q**3 + 5*q. Let d(j) = 15*j**3 - 22*j**2 - 7*j. Let x(s) = -d(s) + u(s). Factor x(f).
-2*f*(f - 2)*(7*f + 3)
Let w(z) = z**3 + 4*z**2 - 2*z - 1. Let x be w(-4). Suppose 12 = -b - x*r + 2*r, 3*b = -3*r. Factor 0 - t + t**b + 1/2*t**2 - 1/2*t**4.
-t*(t - 2)*(t - 1)*(t + 1)/2
Suppose -18*g = -57*g + 78. Factor -98/15 - 28/15*q - 2/15*q**g.
-2*(q + 7)**2/15
Let p = -37881 + 795505/2