Factor k(p).
-5*p**2*(p - 2)*(p - 1)
Suppose 2*o = 10, -4*o = 5*n - 3*o - 15. Suppose -n*z = 3*z - 20. Factor u**2 - z*u**2 - 2*u**2 + 4*u**2.
-u**2
Let i(y) = 3*y + 5. Let d be i(-5). Let l = d + 10. Let -7 + l*g - g + 1 - 2*g + 3*g**2 = 0. What is g?
-1, 2
Let f(l) be the second derivative of 6*l + 1/360*l**6 + 0*l**4 + 0 + 0*l**2 - 5/6*l**3 - 1/120*l**5. Let z(o) be the second derivative of f(o). Factor z(h).
h*(h - 1)
Let w be (2*(-3)/18)/((-3104)/(-96) - 34). Factor -6/5 + b - w*b**2.
-(b - 3)*(b - 2)/5
Let l(t) be the third derivative of -t**7/30 - 38*t**6/15 - 1874*t**5/35 + 1672*t**4/21 - 968*t**3/21 - 287*t**2. Let l(h) = 0. Calculate h.
-22, 2/7
Suppose -44*q - 15 = -47*q. Suppose -i**2 + i**3 - 2*i + q*i**4 - 5*i**3 - 6*i**4 - 4*i**2 = 0. Calculate i.
-2, -1, 0
Let c(v) be the first derivative of 4*v**5/25 + 3*v**4/5 - 16*v**3/15 - 24*v**2/5 - 473. Solve c(m) = 0.
-3, -2, 0, 2
Let r(f) = -f**4 + 2*f**3 - 3*f. Suppose -26 = -5*x - 5*w + 9, -6 = -2*x + 2*w. Let b(q) = 2*q**4 - 4*q**3 + 5*q. Let k(n) = x*r(n) + 3*b(n). Solve k(i) = 0.
0, 2
Let t(j) be the first derivative of -j**4/10 - 228*j**3/5 - 38988*j**2/5 - 2963088*j/5 - 23. Factor t(d).
-2*(d + 114)**3/5
Let v = -79 + 139. Factor -147*o**5 + v*o**4 - 15*o**2 + 150*o**4 + 39*o**2 + 156*o**3.
-3*o**2*(o - 2)*(7*o + 2)**2
Factor 18 - 5*n**2 + 72 - 6*n + 41*n.
-5*(n - 9)*(n + 2)
Let o = -12 + 14. Suppose 4*q - 26 = -5*h, -o*h + 5*q - 18 = -h. Factor 3*d**h - 9*d + d**2 + 25*d + 16.
4*(d + 2)**2
Suppose -q - 2 = -5. Let 13 - 4*w - 11*w - q + 5*w**3 = 0. Calculate w.
-2, 1
Let a(l) be the third derivative of l**6/240 - l**5/24 - l**4/6 + 4*l**3 + 118*l**2. Solve a(q) = 0.
-3, 4
What is n in -1/2*n**3 + 297/2*n**2 - 21903/2*n - 22201/2 = 0?
-1, 149
Let v be 1 - -1*(4 - 5). Let l(p) = -p**3 + p + 3. Let u be l(v). Factor -5*s**4 - 18*s**u + 10*s**4 - 2*s**4 - 27 + 8*s + 24*s**2 + 10*s.
3*(s - 3)**2*(s - 1)*(s + 1)
Let a = 21 - 18. Determine g, given that 0*g**2 - 4*g**2 - a*g**5 + 9*g**3 + 0*g**2 + 3*g**4 + g**2 - 6*g = 0.
-1, 0, 1, 2
Let j be -2*(9/2)/(-3). Let d be 57/9 + 7/(21/(-18)). Factor 1/3*x**j + x**2 + x + d.
(x + 1)**3/3
Find r such that -18 - 3/4*r**3 + 33/4*r**2 + 21/2*r = 0.
-2, 1, 12
Let u(t) be the first derivative of t**4/30 + 4*t**3/9 + 13*t**2/15 - 16*t/5 + 153. Factor u(h).
2*(h - 1)*(h + 3)*(h + 8)/15
Let n(y) be the second derivative of -y**7/14 + y**6/2 - 3*y**5/10 - 7*y**4/2 + 3*y**3/2 + 27*y**2/2 + y - 44. Find u, given that n(u) = 0.
-1, 1, 3
Find r such that 3*r**2 + 5/2*r + 0 + 1/2*r**3 = 0.
-5, -1, 0
Let k = 216/223 + 64524/2453. Find j such that -48/11*j + k*j**3 - 50/11*j**4 - 442/11*j**2 + 72/11 = 0.
-2/5, 2/5, 3
Let g(o) be the third derivative of o**7/3780 + o**6/324 + o**5/180 + 7*o**4/24 - o**2. Let h(i) be the second derivative of g(i). Factor h(a).
2*(a + 3)*(3*a + 1)/9
Let t be 14/6 - 6/18. What is s in -2/11 + 2*s**4 - 14/11*s + 10/11*s**5 + 4/11*s**3 - 20/11*s**t = 0?
-1, -1/5, 1
Let l(b) be the first derivative of -b**6/12 - 3*b**5/10 + 11*b**4/4 + 10*b**3/3 - 42*b**2 + 80*b - 136. Determine x so that l(x) = 0.
-5, -4, 2
Let y(x) = 23*x + 15. Let a be y(7). Suppose 0 = 5*h - 2*u - a, -u - 106 = h - 4*h. Let -3*k**2 - 6*k**2 - 9*k**3 - 39*k - 6*k**4 + 3*k**4 + h*k = 0. What is k?
-1, 0
Factor 0 + 2/7*k + 2*k**2 + 16/7*k**3 - 32/7*k**4.
-2*k*(k - 1)*(4*k + 1)**2/7
Let z(s) be the first derivative of -s**4/9 - 50*s**3/27 - 28*s**2/3 - 8*s + 16. Factor z(f).
-2*(f + 6)**2*(2*f + 1)/9
Let h(r) = 9*r**3 + 41*r**2 + 6*r - 46. Let x(b) = -14*b**3 - 62*b**2 - 10*b + 70. Let f(s) = 8*h(s) + 5*x(s). Find q, given that f(q) = 0.
-9, -1, 1
Let o = 517 + -510. Let c(v) be the third derivative of 2/315*v**o + 1/24*v**4 - 1/120*v**6 + 0*v + 1/18*v**3 - 1/36*v**5 + 0 + 9*v**2. Factor c(n).
(n - 1)**2*(n + 1)*(4*n + 1)/3
Solve 4/3*m**5 - 92/3*m**4 - 968*m + 548/3*m**3 + 0 + 44/3*m**2 = 0.
-2, 0, 3, 11
Let h be (-23 - -33) + 2 + -12. Factor -2/9*f**2 + 0 + h*f.
-2*f**2/9
Find u, given that -8/13*u + 8/13 + 2/13*u**2 = 0.
2
Let b = -5/158 + 89/316. Factor -1/4*d**4 + 0*d**2 - b*d**3 + 0*d + 0.
-d**3*(d + 1)/4
Let l(d) be the second derivative of 0*d**2 - 6*d - 1/90*d**4 + 0 - 2/45*d**3 + 1/75*d**5 + 1/225*d**6. Let l(v) = 0. Calculate v.
-2, -1, 0, 1
Let 550/3*g - 15125/3 - 5/3*g**2 = 0. What is g?
55
Let k(f) be the first derivative of f**4/6 - 20*f**3/9 - f**2/3 + 20*f/3 + 63. What is i in k(i) = 0?
-1, 1, 10
Let w(f) = f**3 - 9*f**2 - 10*f - 6. Let l be w(10). Let o be l/21*21/(-3). Determine z so that -4*z**o + 18*z**5 + 26*z**3 - 40*z**4 + 2*z + 8*z - 10*z = 0.
0, 2/9, 1
Let d = -30589 - -30591. Factor -44/5*w + 8 + 4/5*w**d.
4*(w - 10)*(w - 1)/5
Let a(h) be the second derivative of 2*h**6/15 + 13*h**5/5 + 14*h**4 - 24*h**3 - 432*h**2 + 900*h. Factor a(j).
4*(j - 2)*(j + 3)*(j + 6)**2
Let s(g) be the first derivative of g**4 + 4*g**3 + 4*g**2 + 53. Factor s(l).
4*l*(l + 1)*(l + 2)
Let j(z) be the first derivative of z**6/30 + z**5/10 - z**3/3 - z**2/2 - 17*z + 10. Let n(r) be the first derivative of j(r). Factor n(q).
(q - 1)*(q + 1)**3
Let x(g) be the first derivative of -g**5/10 + g**4/4 + g**3/2 - 711. Suppose x(v) = 0. What is v?
-1, 0, 3
Factor 49/2 + 25/2*c**2 + 35*c.
(5*c + 7)**2/2
Suppose 2*j + 11 = -3*n - 3*j, -4*n - j + 8 = 0. Let o be 13/7 + n/21. Determine r, given that 9*r + 3*r**2 + 2 + 0*r**2 - o = 0.
-3, 0
Let z(i) be the third derivative of -i**7/840 - i**6/48 + 29*i**5/80 - 35*i**4/24 + 8*i**3/3 + 28*i**2 - 5. What is d in z(d) = 0?
-16, 1, 4
Find m, given that -3/2*m**2 - 17/10 + 33/10*m - 1/10*m**3 = 0.
-17, 1
Let j = -2384 - -975054/409. Let g = 804/2863 - j. Factor -2/7*f**3 + g*f**5 + 0*f**4 + 0*f**2 + 0*f + 0.
2*f**3*(f - 1)*(f + 1)/7
Let c be 8/12*-6 - (0 + -8). Suppose 24 = 4*p + 4*u, 3 = 3*p + 4*u - 6*u. Find i such that -i**3 - c*i**2 + 4*i**4 + 4*i - 3*i**p + 0*i**3 = 0.
-1, 0, 1
Let b(d) = d**2 + 2*d - 22. Let z be b(-6). Factor 3*o**2 + 18 + 8*o**3 - 24*o + 2*o**4 + 4*o**z - 11*o**2.
2*(o - 1)**2*(o + 3)**2
Let f(n) be the second derivative of -n**6/6 - 4*n**5 - 185*n**4/12 + 105*n**3 - 180*n**2 + 2*n + 184. Determine i so that f(i) = 0.
-12, -6, 1
Let f be ((-1)/(-5))/((-7)/(-7))*20. Factor -3/4*t**f + 15/4*t**3 + 0 + 3*t - 6*t**2.
-3*t*(t - 2)**2*(t - 1)/4
Let q(v) be the first derivative of v**5/12 + 35*v**4/24 - 20*v**3/3 + 13*v**2 + 36. Let a(z) be the second derivative of q(z). Factor a(l).
5*(l - 1)*(l + 8)
Find x such that 39*x**3 + 0*x**2 - 4*x**5 - 13*x**2 + 12*x**4 + x**2 - 76*x**5 - 8*x + 49*x**3 = 0.
-1, -1/4, 0, 2/5, 1
Suppose 1/3*i**4 - 34/3*i**3 - 4/3*i + 2/3*i**5 - 20/3 + 55/3*i**2 = 0. Calculate i.
-5, -1/2, 1, 2
Let o(q) = q**3 - 6*q**2 - 8*q - 5. Let f be o(7). Let k be 105/63*f/(-50). Factor 1/5*p**2 + 3/5*p + k.
(p + 1)*(p + 2)/5
Let g(n) be the third derivative of 0*n**4 + 0*n**5 + 0*n + 44*n**2 + 0*n**3 - 2/525*n**7 + 0 + 1/75*n**6. Solve g(s) = 0.
0, 2
Let y(x) be the first derivative of -x**6/15 - 2*x**5/5 - 7*x**4/10 + 2*x**3/15 + 8*x**2/5 + 8*x/5 - 170. Let y(c) = 0. What is c?
-2, -1, 1
Suppose -2*c = t - 15, -4*t = 1228*c - 1225*c - 40. Suppose -1/5*i**c + 3/5*i**2 - 4/5 - 4/5*i + 2/5*i**3 = 0. Calculate i.
-1, 2
Let u(f) be the third derivative of 1/36*f**4 + 4/27*f**3 - 1/270*f**5 + 0*f + 0 - 20*f**2. Determine p so that u(p) = 0.
-1, 4
Let i(a) be the first derivative of -2*a**3/39 + 9*a**2/13 - 40*a/13 - 222. Solve i(s) = 0 for s.
4, 5
Let c(r) = r - 3. Let v be c(6). Factor 3*o**2 - 64*o + 18*o**2 + 14*o**2 - 3*o**2 - 4*o**v.
-4*o*(o - 4)**2
Factor 3/8*z**2 + 117/4 - 237/8*z.
3*(z - 78)*(z - 1)/8
Let c(k) be the third derivative of k**5/120 + 13*k**4/48 - 5*k**3/2 + 4*k**2 - 15*k. Solve c(r) = 0 for r.
-15, 2
Let x = -162 - -164. Suppose -i = x*i. What is f in 2/9*f**3 + 0*f**2 + i*f - 2/9*f**4 + 0 = 0?
0, 1
Determine n so that 9/4*n**2 + 6 - 3/4*n**4 - 21/2*n + 3*n**3 = 0.
-2, 1, 4
Let m(t) be the third derivative of t**6/40 + 11*t**5/120 + t**4/12 - t**3/12 - 477*t**2. Factor m(s).
(s + 1)**2*(6*s - 1)/2
Let d(y) be the second derivative of -y**7/126 + y**6/15 - 3*y**5/20 + y**4/9 - 271*y. Suppose d(s) = 0. Calculate s.
0, 1, 4
Suppose -3*r - 4*i - 10 = -2*r, -5*r = 5*i + 5. Suppose 3*x - r*x = 4*w, -2*x + 2*w + 18 = 0. Find j such that 4*j**3 - j**3 + 15*j**4 - x*j**4 = 0.
-1, 0
Let k(f)