w + 2)**3/4
Let r(v) = -2*v**3 - v**2 - 1. Let b(u) = 629*u**3 - 48*u**2 + u + 2. Let t(k) = b(k) + 2*r(k). Factor t(h).
h*(25*h - 1)**2
Factor -45*d + 6*d**2 + 1 + 6*d**2 + 61*d + 3.
4*(d + 1)*(3*d + 1)
Let p(w) be the second derivative of 2197*w**5/25 + 338*w**4 + 520*w**3 + 400*w**2 - 172*w. Factor p(u).
4*(13*u + 10)**3/5
Let p(z) = 4*z**2 + 4 - 3*z - 2*z**3 + 9*z**2 + z**3 - 9*z. Let h be p(12). Solve 4*u**4 - 4*u**2 + 2*u**h - 6*u**4 - u**4 + 4*u**3 = 0.
0, 2
Let m(z) be the second derivative of 11*z + 0*z**3 + 1/15*z**5 + 0 + 0*z**2 - 2/45*z**6 - 2/63*z**7 + 1/9*z**4. Solve m(h) = 0 for h.
-1, 0, 1
Let l(p) be the second derivative of 8*p - 1/110*p**5 + 0 - 1/11*p**3 - 1/11*p**2 - 1/22*p**4. Factor l(m).
-2*(m + 1)**3/11
Let k = 3 + -2. Let o(l) = -l**3 - l - 1. Let h = -95 - -77. Let f(i) = -15*i**3 - 15*i**2 + 3*i - 27. Let a(m) = h*o(m) + k*f(m). Solve a(r) = 0.
1, 3
Let s be (-4)/(-4*(-5)/320). Let c be (s/(-160))/(18/10). Factor c*o**2 + 2 - 4/3*o.
2*(o - 3)**2/9
Let b(g) be the second derivative of -15*g + 0 - 1/5*g**5 + 2/15*g**6 + 0*g**3 + 0*g**2 + 0*g**4. Factor b(c).
4*c**3*(c - 1)
Factor 24*p + 34*p - 41*p**2 - 15 + 25*p - 4*p**3 + 9*p**3.
(p - 5)*(p - 3)*(5*p - 1)
Let d(x) be the second derivative of -1/5*x**5 - 3/8*x**4 + 0 + 3*x + 0*x**3 - 1/40*x**6 + 3/2*x**2. Let z(t) be the first derivative of d(t). Factor z(a).
-3*a*(a + 1)*(a + 3)
Let s be (-55)/20*160/(-880). Factor 1/2*a - s*a**3 + 3/2*a**2 - 3/2.
-(a - 3)*(a - 1)*(a + 1)/2
Let k(a) be the second derivative of 1/4*a**4 + 3/2*a**3 + 0 - 4*a + 3*a**2. Factor k(m).
3*(m + 1)*(m + 2)
Let j(a) be the third derivative of 0*a + 8*a**2 + 1/210*a**6 - 16/21*a**3 + 2/105*a**5 + 0 - 2/21*a**4. Factor j(s).
4*(s - 2)*(s + 2)**2/7
Let v(g) be the first derivative of -g**7/280 + g**6/120 + g**5/40 - g**4/8 - 2*g**3 - 34. Let j(q) be the third derivative of v(q). Factor j(f).
-3*(f - 1)**2*(f + 1)
Let g(d) be the third derivative of -d**5/270 + 5*d**4/54 - 7*d**3/9 - 3*d**2 + 14. Determine h, given that g(h) = 0.
3, 7
Factor 3*f**3 + 163*f**2 + 4*f**4 - 169*f**2 - f**4.
3*f**2*(f - 1)*(f + 2)
Let j(u) be the first derivative of 1/4*u**5 + 80*u + 485/12*u**3 + 30 - 45/8*u**4 - 90*u**2. Determine v so that j(v) = 0.
1, 8
Let d be (-21)/14 - (-174)/108. Let o(p) be the first derivative of 0*p**2 - 1/18*p**6 + 1/15*p**5 - d*p**3 + 1 + 0*p + 1/12*p**4. Factor o(s).
-s**2*(s - 1)**2*(s + 1)/3
Factor 0*d**4 + 2*d - 2*d**4 + 47*d**3 + 2*d + 4*d + 8*d**2 - 49*d**3.
-2*d*(d - 2)*(d + 1)*(d + 2)
Let c(z) be the second derivative of -z**6/6 - 5*z**5/2 - 35*z**4/3 - 20*z**3 + 281*z. Factor c(h).
-5*h*(h + 2)**2*(h + 6)
Let i(j) be the third derivative of j**6/360 + j**5/40 + j**4/12 + j**3 - 17*j**2. Let z(h) be the first derivative of i(h). Factor z(a).
(a + 1)*(a + 2)
Let p(f) = -f**2. Suppose h = 13*h - 12. Let a(j) = 6*j**2 + 24*j - 21. Let o(g) = h*a(g) + 9*p(g). Factor o(x).
-3*(x - 7)*(x - 1)
Let r(h) = h**4 - h**3 - h**2 - h - 1. Let n(j) = -25*j**4 - 185*j**3 + 445*j**2 - 195*j + 20. Let s(q) = n(q) + 20*r(q). Factor s(w).
-5*w*(w - 1)**2*(w + 43)
Let x be (-339)/54*(-5)/130. Let d = 1/117 + x. Factor -1/4*q - 1/2 + d*q**2.
(q - 2)*(q + 1)/4
Let g(t) be the first derivative of 0*t + 1 + 25/4*t**4 + 4*t**5 + 5/6*t**6 + 10/3*t**3 + 0*t**2. Factor g(q).
5*q**2*(q + 1)**2*(q + 2)
Let n be (-1)/((-18)/4) + (68 - (71 - 3)). Factor -n*g**2 - 2/3 + 8/9*g.
-2*(g - 3)*(g - 1)/9
Let c(h) be the second derivative of -h**5/12 + 35*h**4/24 - 5*h**3 - 6*h**2 - 14*h. Let r(z) be the first derivative of c(z). Find m, given that r(m) = 0.
1, 6
Let c(m) = m**4. Let y(q) = -39*q**4 - 28*q**3 + 8*q**2. Let u(f) = -3*c(f) - y(f). Suppose u(x) = 0. What is x?
-1, 0, 2/9
Let x be (4/(-3))/(1260/(-162)). Let q(y) be the first derivative of -7 + x*y**5 + 1/7*y**2 + 10/21*y**3 + 0*y + 1/2*y**4. Factor q(a).
2*a*(a + 1)**2*(3*a + 1)/7
Factor 2/15*v**2 + 2/15*v - 4/5.
2*(v - 2)*(v + 3)/15
Let j(v) be the first derivative of 5*v**3/9 + 335*v**2/3 + 22445*v/3 - 353. Factor j(y).
5*(y + 67)**2/3
Let c be (((-4)/50)/((-42)/240))/((-492)/(-3690)). What is p in -4/7*p**2 + c - 4/7*p = 0?
-3, 2
Let h(n) = n**2 + 69*n + 731. Let m be h(-56). Factor 10/13*k - 10/13*k**4 - 2/13 + 20/13*k**m - 20/13*k**2 + 2/13*k**5.
2*(k - 1)**5/13
Let g be (10/(-15))/(-15 + 11). Let d(z) be the first derivative of -1/5*z**5 + g*z**6 - z + 1/2*z**2 - 6 + 2/3*z**3 - 1/2*z**4. Factor d(x).
(x - 1)**3*(x + 1)**2
Suppose 2*h + 2*m = 6 + 10, 2*h - 11 = -m. Suppose h + 5 = 4*f. Factor f + 0*a - 8 + 8*a - 2*a**2.
-2*(a - 3)*(a - 1)
Let f(b) be the first derivative of -b**7/147 - 2*b**6/105 - b**5/70 + 16*b - 11. Let o(m) be the first derivative of f(m). Factor o(w).
-2*w**3*(w + 1)**2/7
Let w(s) be the second derivative of s**7/49 + s**6/35 - 3*s**5/5 + 13*s**4/7 - 19*s**3/7 + 15*s**2/7 + 7*s + 2. Determine d, given that w(d) = 0.
-5, 1
Let k be 5 + (-9 - 44/(-10)). Factor -4 + 18/5*q + k*q**2.
2*(q - 1)*(q + 10)/5
Let v = -2266 - -2266. Let v - 6/7*s + 0*s**3 + 3*s**2 - 27/7*s**4 = 0. What is s?
-1, 0, 1/3, 2/3
Let q be (-16)/(-24)*9/(-94)*2. Let c = 59/94 + q. Factor -1/2*b**2 + 0 - c*b**4 - b**3 + 0*b.
-b**2*(b + 1)**2/2
Let w(k) be the first derivative of k**6/36 + k**5/10 + k**4/8 + k**3/18 - 35. Factor w(d).
d**2*(d + 1)**3/6
Let w(q) = 33*q**4 - 9*q**3 - 6*q**2. Let y(i) be the second derivative of i**6/30 - i**5/20 + 8*i. Let h(v) = w(v) - 18*y(v). What is z in h(z) = 0?
-1, 0, 2/5
Factor 116/3 - 40*x + 4/3*x**2.
4*(x - 29)*(x - 1)/3
Suppose -5*h = 2*m + 11 + 2, 16 = m - 2*h. Factor 2*s**2 + 6*s - 6*s**2 + m*s**2 - 5*s**2.
-3*s*(s - 2)
Suppose -d + 38 = 2*l + 29, -4*d + 9 = -l. Let z(m) be the first derivative of 9/8*m**4 + l*m + 5 + 4*m**3 + 21/4*m**2. Factor z(o).
3*(o + 1)**2*(3*o + 2)/2
Factor -41/2*c**3 - 361/6*c - 20 - 121/2*c**2 - 1/6*c**4.
-(c + 1)**3*(c + 120)/6
Let k(r) be the second derivative of -r**4/48 - 5*r**3/6 + 11*r**2/2 - 29*r. Determine x, given that k(x) = 0.
-22, 2
Let l(o) = -o**3 + 6*o**2 - 7*o + 1. Let g be l(2). Find m such that -25*m**4 + 0*m**5 + 40*m**2 - 3*m**5 + 2*m**5 - 15*m**g + 20*m + 11*m**5 = 0.
-1, -1/2, 0, 2
Let d(r) be the second derivative of -r**6/15 - 2*r**5 + 11*r**4/3 + 20*r**3/3 - 21*r**2 + 5*r - 17. Determine z so that d(z) = 0.
-21, -1, 1
Let o(n) = -n**3 - 64*n**2 - 64*n + 1. Let a be o(-1). Factor -4/5*i - 2/5 - 2/5*i**a.
-2*(i + 1)**2/5
Suppose -5*l = -l + 5*g, -5*g = 0. Suppose -3*n + 0 + 27 = l. What is y in n*y**2 + 2*y**2 + y**3 - 13*y**2 + y = 0?
0, 1
Factor -2/15*i**3 + 0 - 6/5*i + 4/3*i**2.
-2*i*(i - 9)*(i - 1)/15
Let y(p) be the third derivative of 0*p - 25/21*p**3 - 5/28*p**4 - 1/420*p**6 - 35*p**2 + 3/70*p**5 + 0. Find d such that y(d) = 0.
-1, 5
Let m(o) = -o**2 - 11*o + 180. Let q be m(-20). Let z(l) be the second derivative of 0 + 4*l + 1/108*l**4 + 0*l**2 + q*l**3 + 1/180*l**5. Factor z(f).
f**2*(f + 1)/9
Suppose 3*v - 2*a - 3*a = 34, 4*a + 11 = -3*v. Solve -4 + 0*n**3 + 2*n - 15*n**2 - 5*n**4 + 10*n**4 + 2*n**v - 18*n = 0.
-1, -2/5, 2
Let n = -205 + 209. Let l(v) be the third derivative of 0*v + 1/6*v**n - 5*v**2 + 1/3*v**3 + 1/30*v**5 + 0. Let l(p) = 0. Calculate p.
-1
Let c be (-3190)/725 - 18/(-3). Let 8/5*k - c - 2/5*k**2 = 0. Calculate k.
2
Let h(x) be the second derivative of x**5/30 + 11*x**4/6 + 121*x**3/3 + 6*x**2 + 23*x. Let m(u) be the first derivative of h(u). Solve m(b) = 0.
-11
Let f(r) be the first derivative of r**5 - 55*r**4/4 + 200*r**3/3 - 120*r**2 + 246. Factor f(t).
5*t*(t - 4)**2*(t - 3)
Let f(c) be the first derivative of -c**6/12 - 31*c**5/30 - 41*c**4/12 - 5*c**3 - 43*c**2/12 - 7*c/6 - 284. Find w such that f(w) = 0.
-7, -1, -1/3
Let p(w) = -569*w - 3411. Let r be p(-6). What is c in 28/3*c**2 - 8/3*c**r - 19/2*c + 3 = 0?
3/4, 2
Let k(u) = -2*u - 22. Let v be k(-11). Find r, given that 3*r**2 + 8*r**3 + 6*r**4 + r**2 + v*r**4 - 2*r**4 = 0.
-1, 0
Let d be (-24)/84 + (-132)/(-70). Find s, given that -4/5*s - 4/5*s**2 + d = 0.
-2, 1
Suppose -24/7*n - 54/7*n**3 + 60/7*n**2 + 3*n**4 + 0 - 3/7*n**5 = 0. Calculate n.
0, 1, 2
Let m(g) be the second derivative of -12*g**5/5 + 26*g**4 - 225*g**3/2 + 243*g**2 + 45*g + 2. Factor m(a).
-3*(a - 2)*(4*a - 9)**2
Let b = 57 - 54. Factor -b + 23 - 4*z**2 - 4.
-4*(z - 2)*(z + 2)
Let k(i) be the third derivative of