d(h).
h*(h + 1)**2*(h + 2)
Solve 143/2*s**2 - 9*s**3 + 171*s + 361/4 + 1/4*s**4 = 0 for s.
-1, 19
Factor 1/6*p**5 - 17/6*p**2 + 0 - 5/2*p**3 - p - 1/2*p**4.
p*(p - 6)*(p + 1)**3/6
Factor 0 - 35/2*k - 5/2*k**2.
-5*k*(k + 7)/2
Find p such that 117*p**2 + 4*p - 8 + 20*p**3 + 80*p**2 - 165*p**2 = 0.
-1, 2/5
Let z(x) be the first derivative of 0*x - 38 + 0*x**2 + 1/2*x**4 + 2/3*x**3. Factor z(y).
2*y**2*(y + 1)
Suppose 4*j - 8 = 8. Factor n**2 + n**2 - n**4 + 0*n**j - 1.
-(n - 1)**2*(n + 1)**2
Let z(s) = s**3 + 7*s**2 + 5*s + 8. Let u be z(-6). Factor 2*f**5 + 15*f**3 - u*f**4 + 92*f**2 + 130*f + 16*f**3 + 50 - 46*f**3 + 11*f**3.
2*(f - 5)**2*(f + 1)**3
Let n(y) be the third derivative of -y**5/420 + 4*y**4/3 - 896*y**3/3 + 499*y**2. Factor n(l).
-(l - 112)**2/7
Let l be 2/(-11) - 80/44. Let s = l + 6. What is n in -3*n**s - 3*n**2 + 9*n**3 + 12*n**2 + 6*n**4 + 0*n**4 + 3*n = 0?
-1, 0
Let t(x) be the first derivative of 2/3*x**3 + 3/2*x**4 + 0*x**2 + 3 + 6/5*x**5 + 0*x + 1/3*x**6. Solve t(l) = 0 for l.
-1, 0
Let k(o) be the third derivative of 1/16*o**4 - 1/60*o**5 - 1/12*o**3 + 0*o + 0 - 25*o**2. Suppose k(v) = 0. Calculate v.
1/2, 1
Let k(o) be the second derivative of 7*o**5/150 + 19*o**4/6 - 82*o**3/45 - 74*o. What is j in k(j) = 0?
-41, 0, 2/7
Suppose -8*x = -2*x. Factor -20*g**4 + 32*g**3 + 10*g**2 + x*g**4 + 7*g**2 - g**2.
-4*g**2*(g - 2)*(5*g + 2)
Let b be -6 - ((-10 - -7) + -3). Let a(v) be the first derivative of b*v - v**3 - 21/5*v**5 + 15/4*v**4 + 0*v**2 + 3/2*v**6 + 4. Determine f so that a(f) = 0.
0, 1/3, 1
Let y(a) be the first derivative of 11*a**3/9 - 10*a**2/3 - 4*a/3 - 17. Let y(m) = 0. What is m?
-2/11, 2
Let y(i) be the first derivative of 0*i + 3/2*i**2 - 3 + 5/32*i**4 - 1/4*i**3 + 7/80*i**5. Let q(g) be the second derivative of y(g). Factor q(t).
3*(t + 1)*(7*t - 2)/4
Let s(b) = 2*b**2 - 11*b + 6. Let o be s(5). Let r(v) = -v**5 + v**4 - v**3 + 1. Let x(t) = -12*t**3 + 4. Let j(y) = o*x(y) - 4*r(y). Find d such that j(d) = 0.
-1, 0, 2
What is s in -26 + 1/2*s**2 + 12*s = 0?
-26, 2
Suppose 15 = -124*f + 129*f, -2*f + 6 = 3*l. Let x(d) be the third derivative of -1/3*d**4 - 2/3*d**3 - 1/15*d**5 + l + 0*d + 6*d**2. Find a such that x(a) = 0.
-1
Let o(b) be the third derivative of b**8/1176 + b**7/245 - b**6/15 - 256*b**2. Factor o(q).
2*q**3*(q - 4)*(q + 7)/7
Let l = -201 + 205. Let h(r) be the third derivative of 0*r**3 + 6/25*r**6 + 4/75*r**5 + 54/175*r**7 + 0*r**l + 0 + 0*r - 6*r**2. Factor h(q).
4*q**2*(9*q + 2)**2/5
Factor -51*c**2 + 6*c**2 + 5*c**3 + 120*c - 62 - 18.
5*(c - 4)**2*(c - 1)
Factor -11*f**2 + 17*f**3 - 15*f**3 + 23*f**2.
2*f**2*(f + 6)
Let t(w) be the second derivative of -5*w**7/42 + 6*w**6 - 99*w**5/2 - 945*w**4 - 6615*w**3/2 + 2*w - 30. Suppose t(p) = 0. What is p?
-3, 0, 21
Factor 0 + 2/9*d**2 - 104/9*d.
2*d*(d - 52)/9
Let o(i) be the first derivative of 3 - i**2 + i + 1/3*i**3. Factor o(v).
(v - 1)**2
Let a(l) be the second derivative of 2*l**7/63 - 2*l**6/45 - 2*l**5/15 + 2*l**4/9 + 2*l**3/9 - 2*l**2/3 - 249*l. Find s, given that a(s) = 0.
-1, 1
Let q(h) be the first derivative of h**7/630 - h**5/60 + h**4/36 + 3*h**2/2 + 16. Let j(u) be the second derivative of q(u). Factor j(n).
n*(n - 1)**2*(n + 2)/3
Let u(h) be the first derivative of -h**6/1440 + h**5/240 - h**4/96 + 4*h**3/3 - 6. Let m(y) be the third derivative of u(y). Factor m(a).
-(a - 1)**2/4
Let m(h) be the first derivative of h**5/35 - h**4/14 - h**3/21 + h**2/7 + 142. Determine q, given that m(q) = 0.
-1, 0, 1, 2
Let w(s) be the first derivative of s**5/5 - s**4/4 - s**3/3 + s**2/2 + 43. Factor w(h).
h*(h - 1)**2*(h + 1)
Let d(s) be the first derivative of -1/7*s**3 - 3/14*s**2 + 13 + 0*s. Suppose d(p) = 0. What is p?
-1, 0
Let z(q) be the first derivative of 0*q - 6/7*q**2 + 4/21*q**3 - 25. Solve z(g) = 0.
0, 3
Let a(u) be the second derivative of 1/2*u**3 - 3*u + 0*u**6 + 0*u**4 + 1/14*u**7 + 0*u**2 - 3/10*u**5 + 0. Solve a(h) = 0.
-1, 0, 1
Let c be (3/6)/(2/12). Let b be (33/(-9) + c)*-12. Factor -q - q**2 + b*q + 3*q - 4*q**2.
-5*q*(q - 2)
Let w(m) = 2*m**5 - m**4 + 6*m**3 - 14*m**2 + 4*m + 3. Let g(q) = -5*q**5 + 2*q**4 - 11*q**3 + 29*q**2 - 8*q - 7. Let f(x) = -6*g(x) - 14*w(x). Factor f(n).
2*n*(n - 1)**3*(n + 4)
Suppose 1 = -y + 4. Factor -3*x**4 + 329*x**y - 4*x**5 + 11*x**4 - 329*x**3.
-4*x**4*(x - 2)
Suppose 0 = 5*f - 16*f + 7*f. Let g(l) be the second derivative of f - 5/6*l**4 - 5/6*l**3 - 6*l + 1/4*l**5 + 5*l**2. Factor g(c).
5*(c - 2)*(c - 1)*(c + 1)
Let m(t) be the second derivative of -6*t**6/5 - 17*t**5 - 36*t**4 - 64*t**3/3 - 4*t. Let m(g) = 0. Calculate g.
-8, -1, -4/9, 0
Let t = 64 - 106. Let m = 42 + t. Factor 1/2*s + m - s**2 + 1/2*s**3.
s*(s - 1)**2/2
Let b(s) be the second derivative of s**8/1344 + s**7/210 + s**6/160 - s**5/60 - s**4/24 - 7*s**2 + 7*s. Let m(t) be the first derivative of b(t). Factor m(o).
o*(o - 1)*(o + 1)*(o + 2)**2/4
Let i(q) be the first derivative of -1/2*q**3 - 3*q**2 - 9/2*q - 9. Let i(b) = 0. Calculate b.
-3, -1
Let k(o) = -20*o**4 - 173*o**3 + 243*o**2 - 52*o + 4. Let s(w) = -60*w**4 - 518*w**3 + 728*w**2 - 157*w + 14. Let p(t) = 7*k(t) - 2*s(t). Solve p(f) = 0.
-10, 0, 1/4, 1
Factor 2/11*q**3 + 4056/11*q - 156/11*q**2 - 35152/11.
2*(q - 26)**3/11
Let p be ((-4)/70)/(50/35 - 2). Let w(k) be the second derivative of -1/3*k**3 - 1/15*k**6 - 4*k + p*k**5 + 0*k**2 + 0 + 1/6*k**4. What is v in w(v) = 0?
-1, 0, 1
Suppose 4*v + 84 = 25*v. Let a(o) be the third derivative of 0*o**v + 1/30*o**6 + 0*o**3 - 8*o**2 - 2/15*o**5 + 0 + 0*o. Determine s, given that a(s) = 0.
0, 2
Let i(h) be the third derivative of h**7/45 - 59*h**6/180 + 73*h**5/90 - 7*h**4/12 - 83*h**2. Suppose i(m) = 0. Calculate m.
0, 3/7, 1, 7
Let y be (-3)/3*-7 + (-4672)/704. Let -6/11*w + 2/11*w**2 + y = 0. What is w?
1, 2
Factor 172*l - 10*l**2 + 5*l**2 + 8*l**2 - 24*l - 25*l.
3*l*(l + 41)
Let n(p) = p**3 + p**2. Let g(t) be the first derivative of 2*t**3/3 + 3*t**2 + 4*t - 26. Let u = -6 - -4. Let z(a) = u*n(a) + g(a). Factor z(o).
-2*(o - 2)*(o + 1)**2
Solve 3/2*r**5 + 0*r - 9/4*r**4 + 3/4*r**2 + 0*r**3 + 0 = 0 for r.
-1/2, 0, 1
Suppose -2*x + 52 = 40. Let p be (1/2)/(x/4). Factor 0 - 1/3*c**5 + 0*c**3 + 2/3*c**2 + p*c - 2/3*c**4.
-c*(c - 1)*(c + 1)**3/3
Let o(a) = -a**5 + 2*a**4 - a**3 + 2*a**2 - 2*a + 2. Let n(k) = k**5 - k**4 - k**3 - 2*k**2 + 3*k - 3. Let d(y) = 2*n(y) + 3*o(y). Factor d(i).
-i**2*(i - 2)*(i - 1)**2
Factor -121*a - 2*a**3 + 3*a**3 + 21*a + 28767*a**2 - 28746*a**2.
a*(a - 4)*(a + 25)
Let x be 27/36 - 10/(-8). Factor 32*a**2 - 61*a**2 - 3*a - 3*a + 31*a**x.
2*a*(a - 3)
Let y be 4/14 + (-192)/(-112). Let r be (-2 + y + (-1)/9)*-3. Factor -4/3*w**2 + r*w + 1.
-(w - 1)*(4*w + 3)/3
Let w(u) = -42*u**2 - 27*u - 129. Let j(t) = 3*t**2 + 2*t + 10. Let f(g) = -27*j(g) - 2*w(g). Find x such that f(x) = 0.
-2, 2
Let c = 826 - 79. Solve 4*h**2 - 104*h + 1613 - c - 190 = 0.
13
Solve 0 - 1/7*o**4 - 2/7*o + 2/7*o**3 + 1/7*o**2 = 0 for o.
-1, 0, 1, 2
Let -45/4*s**3 - 3/4*s**4 - 159/4*s + 27/2 + 153/4*s**2 = 0. Calculate s.
-18, 1
Let k(g) be the second derivative of -g**5/90 - 2*g**4/9 - 16*g**3/9 + 4*g**2 - 10*g. Let y(n) be the first derivative of k(n). Determine u so that y(u) = 0.
-4
Let v = 30017/4002 - 1/2001. Let 21/2*y**4 - 24*y**2 + 0 + 6*y + v*y**3 = 0. What is y?
-2, 0, 2/7, 1
Let u(b) be the first derivative of b**4/4 + 2*b**3 + 3*b**2/2 - 10*b - 227. Factor u(p).
(p - 1)*(p + 2)*(p + 5)
Determine c, given that 0*c**2 - 1/3*c**3 + 0*c + 1/3*c**4 + 0 = 0.
0, 1
Factor 20825*j**2 - 20543*j**2 - 10080*j - 2*j**3 + 13807 - 4007.
-2*(j - 70)**2*(j - 1)
Let r = -24929/22 - -2267/2. Determine w, given that -4/11*w**3 + 6/11*w - 6/11*w**2 + r = 0.
-2, -1/2, 1
Let f(a) = -a**3 - a**2 + a + 1. Let c(p) = -3*p**3 - 4*p**2 + 3*p + 4. Suppose 30 = -5*q + 5. Let w(i) = q*c(i) + 20*f(i). Factor w(g).
-5*g*(g - 1)*(g + 1)
Let m(s) be the first derivative of -47*s - 80*s - 27*s**2 - 116*s - 5 - 37 - s**3. Suppose m(q) = 0. What is q?
-9
Solve -7*h - 24 - 1/2*h**2 = 0 for h.
-8, -6
Let x(w) be the third derivative of -w**6/40 - 3*w**5/20 + 5*w**4/4 + 12*w**3 + 8*w**2 + 4. Solve x(t) = 0 for t.
-4, -2, 3
Let f(q) = -111*q**2 - 6*q. Let x(p) = -107*p**2 - 7*p. Let z(n) = 3*f(n) - 4*x(n). Factor z(y).
5*y*(19*y + 2)
Let m = 18487