*(y + 1)*(y + 2)
Let v = 1301 + -3970/3. Let q = -22 - v. Factor -2/3*g**3 + 0*g**4 + 0 + q*g**5 + 1/3*g + 0*g**2.
g*(g - 1)**2*(g + 1)**2/3
Let n(i) be the second derivative of i**7/504 - i**6/360 - i**5/180 + i**3/2 + i. Let y(w) be the second derivative of n(w). Let y(d) = 0. What is d?
-2/5, 0, 1
Let z(a) = -a**2 + a + 1. Let m be z(0). Let s(v) = -3*v**4 + 3*v**2 + 6*v. Let f(q) = q**4 - q**3 - q. Let l(d) = m*s(d) + 6*f(d). Factor l(h).
3*h**2*(h - 1)**2
Let v(d) be the third derivative of d**5/12 + 25*d**4/24 + 10*d**3/3 - 5*d**2. Factor v(z).
5*(z + 1)*(z + 4)
Let p be 3/(6/4 + 0). Suppose p*v + 5*k - 5 = 0, v + 0 = 4*k + 9. Suppose -v*l + 0*l**2 + l + l - 3*l**2 = 0. Calculate l.
-1, 0
Let j(o) = -o**4 + 3*o**3 - 8*o - 9. Let i(f) = -2*f**4 + 2*f**3 - 8*f - 10. Let s(l) = 5*i(l) - 6*j(l). Suppose s(y) = 0. What is y?
-1, 1
Let d(l) = l**3 + 26*l**2 + 26*l + 29. Let s be d(-25). Let w(g) be the second derivative of -1/3*g**2 + 1/18*g**3 - s*g + 0 + 1/36*g**4. What is c in w(c) = 0?
-2, 1
Let o(g) be the third derivative of g**7/840 - g**6/180 + g**5/120 - g**3/3 + 2*g**2. Let i(s) be the first derivative of o(s). Suppose i(b) = 0. Calculate b.
0, 1
Let 0 + 2/3*w**4 - 2/3*w**3 + 0*w + 2/3*w**5 - 2/3*w**2 = 0. Calculate w.
-1, 0, 1
Let u(c) be the first derivative of -4 + 4/7*c + 2/7*c**4 + 0*c**5 - 1/21*c**6 - 4/21*c**3 - 3/7*c**2. Let u(n) = 0. Calculate n.
-2, -1, 1
Suppose 2*k + j = 2*j, 0 = -2*k - j + 8. Suppose -k*a + 4*a**2 - 5*a**2 + a = 0. Calculate a.
-1, 0
Let j(t) be the third derivative of t**7/105 + t**6/10 + 3*t**5/10 + t**4/3 + 9*t**2. Factor j(o).
2*o*(o + 1)**2*(o + 4)
Let c(h) be the second derivative of h**4/60 + 7*h**3/15 + 49*h**2/10 - 24*h. Factor c(s).
(s + 7)**2/5
Let 1/4*q**3 - 1/4*q**2 + 1/4 - 1/4*q = 0. Calculate q.
-1, 1
Suppose 5*m + 2*n - 24 = 0, -n = m - 0*m - 6. Determine w, given that m*w**2 + 2*w + 0*w - 1 - 2*w**3 - 3 = 0.
-1, 1, 2
Suppose -1 + 34*b**2 - 3*b - 31*b**2 - 5 = 0. What is b?
-1, 2
Let d = -2/119 - -244/357. Let f(z) = -z**2 + 5*z + 6. Let u be f(6). Determine o so that u*o**2 + 2/3*o + 0 - d*o**3 = 0.
-1, 0, 1
Let a(f) be the first derivative of -f**4/20 - f**3/15 + f**2/5 + 1. Factor a(c).
-c*(c - 1)*(c + 2)/5
Let 2*t - 6*t**2 - t**3 - t + 4*t**3 + 2*t = 0. What is t?
0, 1
Let m(v) be the third derivative of -v**7/420 + v**5/40 + v**4/24 + 22*v**2. Solve m(p) = 0.
-1, 0, 2
Let a(q) be the first derivative of 0*q**2 - 2 - q + 1/24*q**4 + 1/12*q**3. Let j(p) be the first derivative of a(p). Let j(g) = 0. What is g?
-1, 0
Let i(c) be the third derivative of c**8/112 + 2*c**7/35 + 3*c**6/40 + 6*c**2. Find m such that i(m) = 0.
-3, -1, 0
Let b(i) = -i + 9. Let c be b(7). Find z such that -4*z**4 - 8*z + c - 3*z**2 + 7*z**2 + 2*z**3 - 2*z**4 + 6*z**3 = 0.
-1, 1/3, 1
Let f(v) = -9*v**2 + 11*v + 8. Let n(c) = 26*c**2 - 32*c - 24. Let p(s) = 8*f(s) + 3*n(s). Factor p(u).
2*(u - 2)*(3*u + 2)
Suppose -4*s - 8 = -6*s. Suppose -s*x + 8 = -4. Factor -1/3*o**5 + 0 - 1/3*o**x + 0*o**2 + 0*o - 2/3*o**4.
-o**3*(o + 1)**2/3
Let n(x) be the first derivative of x**5/50 + x**4/60 - x**3/15 - x**2/10 - 2*x + 1. Let o(i) be the first derivative of n(i). Determine g so that o(g) = 0.
-1, -1/2, 1
Suppose 0 = 4*z + 4*x + 2 - 18, -2*z + 5*x = -1. Find d such that 50*d**2 + 125/3*d**z + 20*d + 8/3 = 0.
-2/5
Let d(b) = 6*b**3 + 82*b**2 - 28*b + 3. Let y be d(-14). Factor -9*t - 1/3*t**y - 9 - 3*t**2.
-(t + 3)**3/3
Let n(y) be the second derivative of -y**6/180 + y**5/30 - y**4/12 - 4*y**3/3 + 8*y. Let k(h) be the second derivative of n(h). Factor k(t).
-2*(t - 1)**2
Let o(u) be the first derivative of u**4/36 - u - 3. Let h(x) be the first derivative of o(x). Find d, given that h(d) = 0.
0
Let q be 1*(5 + 0 + -5). Let r(n) be the third derivative of q - 1/40*n**4 + 1/15*n**3 + 3*n**2 + 0*n - 1/60*n**5. Solve r(v) = 0 for v.
-1, 2/5
Let f be (-15)/(-150)*(3 - (-3)/(-6)). Factor -f*o**4 - 1/4*o**5 + 0 + 1/4*o**2 + 1/4*o**3 + 0*o.
-o**2*(o - 1)*(o + 1)**2/4
Let a(u) be the first derivative of 2*u**3/21 - 6*u**2/7 - 5. Solve a(r) = 0.
0, 6
Suppose 9 = 11*m - 8*m. Let 9/2 + 1/2*h**2 - m*h = 0. What is h?
3
Let w = 3/2 + 0. Factor 1/2 + w*d + d**2.
(d + 1)*(2*d + 1)/2
Suppose v = -4*h + 10, 0 = 2*v - 4*h + 2 + 2. Find g, given that g**2 + 0*g**2 - g**v - 4*g**2 + 2*g**3 = 0.
0, 2
Let f(m) be the third derivative of m**10/453600 + m**9/90720 + m**8/60480 - m**5/60 - 2*m**2. Let s(y) be the third derivative of f(y). Factor s(i).
i**2*(i + 1)**2/3
Factor -3/2*x**4 - 384*x - 384 - 24*x**3 - 144*x**2.
-3*(x + 4)**4/2
Factor j**2 - j + 4*j**2 + j**3 + 8*j**4 - 9*j**4 - 4*j**2.
-j*(j - 1)**2*(j + 1)
Suppose -8 = 4*c, 0*c = -p - c + 1. Let -2 + 3*i + 12*i**2 + 4*i - p*i**2 = 0. What is i?
-1, 2/9
Let s be (2/15)/(12/15). Let z(p) be the first derivative of s*p**3 + 1/2*p + 1/2*p**2 + 1. Factor z(a).
(a + 1)**2/2
Let q(x) be the first derivative of 2*x**3/3 + 2*x**2 - 6*x + 1. Factor q(r).
2*(r - 1)*(r + 3)
Let s = 6686/9 - 742. Suppose -s + 2/9*u**2 + 0*u = 0. What is u?
-2, 2
Let d(i) be the third derivative of -5*i**8/336 - i**7/21 + i**6/8 + i**5/3 - 5*i**4/6 + 20*i**2. Solve d(a) = 0.
-2, 0, 1
Let p be 6 + (10 - 8 - 8). Factor 7/4*y**3 + p - 9/4*y**2 + 1/2*y.
y*(y - 1)*(7*y - 2)/4
Let l(p) be the second derivative of p**5/20 - p**4/3 + 5*p**3/6 - p**2 + 19*p. Determine q so that l(q) = 0.
1, 2
Let a(v) be the second derivative of 2*v**7/3 + 43*v**6/15 + 123*v**5/35 + 38*v**4/21 + 8*v**3/21 - 2*v. Solve a(s) = 0 for s.
-2, -1/2, -2/7, 0
Let -6*d**3 + 0*d**4 + 3*d**2 + 3/2*d**5 + 9/2*d - 3 = 0. Calculate d.
-2, -1, 1
Let m(f) be the second derivative of -1/3*f**3 + 0 - 2/3*f**2 - 3*f - 1/18*f**4. Factor m(u).
-2*(u + 1)*(u + 2)/3
Let b(a) be the third derivative of -a**7/945 - a**6/180 - a**5/135 - 31*a**2. Determine n, given that b(n) = 0.
-2, -1, 0
Let m(f) be the first derivative of -2/15*f**3 - 1 - 8/5*f + 4/5*f**2. Factor m(l).
-2*(l - 2)**2/5
Suppose 21*b - 19 = 44. What is j in -8/5*j - 8/5 - 4/5*j**b + 14/5*j**2 = 0?
-1/2, 2
Let i(b) be the third derivative of b**5/12 - 5*b**4/6 + 5*b**3/2 + 3*b**2 + 2. Factor i(q).
5*(q - 3)*(q - 1)
Let s = -30 - -30. Suppose -7/5*v**2 + s - 8/5*v**3 - 1/5*v + 16/5*v**4 = 0. Calculate v.
-1/4, 0, 1
Let i(d) be the first derivative of -3 + 1/2*d**4 + 2/3*d**3 + 0*d + 0*d**2. Solve i(k) = 0 for k.
-1, 0
Let v(y) be the third derivative of -y**8/448 + y**7/140 - y**6/160 - 5*y**2. Determine p so that v(p) = 0.
0, 1
Let l(m) = -1445*m**2 - 1285*m - 245. Let y(s) = -241*s**2 - 214*s - 41. Let b(h) = -4*l(h) + 25*y(h). Find c, given that b(c) = 0.
-3/7
Factor -8*w**5 + 5 - 20*w**4 - w + w**2 - 8*w**2 - 18*w**3 - 5.
-w*(w + 1)*(2*w + 1)**3
Suppose 2*o = -3*o + 15, 4*v + 2*o - 22 = 0. Factor -2/11*s**v + 0 + 0*s - 2/11*s**2 - 4/11*s**3.
-2*s**2*(s + 1)**2/11
Let g(r) be the second derivative of 0*r**3 - 1/6*r**4 + 1/30*r**6 + 0*r**2 - 1/20*r**5 + 0 - r. Factor g(d).
d**2*(d - 2)*(d + 1)
Let n be ((-10)/(-25))/(2/(-10)). Let h = n - -6. Factor -12/5*q**2 - 12/5*q**h + 0 - 3/5*q**5 - 18/5*q**3 - 3/5*q.
-3*q*(q + 1)**4/5
Let a = -3/298 + -98927/894. Let u = a + 112. Solve -u + 4/3*n - 1/3*n**2 = 0 for n.
2
Let n(j) = 5*j + 5. Let d be n(-1). Let k(q) be the second derivative of d - 3*q - 1/9*q**3 + 1/30*q**5 - 1/18*q**4 + 1/3*q**2. Find w such that k(w) = 0.
-1, 1
Suppose -2*d = 20 + 56. Let p = d - -116/3. Determine t, given that 2/9*t**2 - 4/9 + 2/9*t**4 - 2/3*t**3 + p*t = 0.
-1, 1, 2
Let g be ((-9)/18)/(8/6). Let m = 1/8 - g. Factor 0*x**3 + 1/4 + 1/4*x**4 - m*x**2 + 0*x.
(x - 1)**2*(x + 1)**2/4
Let t(b) be the third derivative of b**5/390 + b**4/156 - 11*b**2. Solve t(y) = 0 for y.
-1, 0
Let t(b) be the first derivative of -2*b + 5 + 5/2*b**2 - 5/4*b**4 + 3/5*b**5 - 1/3*b**3. Solve t(p) = 0 for p.
-1, 2/3, 1
Suppose -7 = 2*m - 15. Suppose -5*v + 2*k = -0 - 5, 2*v - 26 = -m*k. Suppose 0*t + 2/3*t**4 + 2/3*t**v - 2/3*t**5 + 0 - 2/3*t**2 = 0. Calculate t.
-1, 0, 1
Suppose 0*h - 3*h + 12 = 0. Solve -3*g**4 + 8*g**2 + 2*g**5 + 8*g**3 - 16*g + h*g**3 + 4*g**4 - 11*g**4 = 0 for g.
-1, 0, 2
Suppose 0 = 4*f - 0 + 24. Let c(h) = -h**3 - 6*h**2 + 2. Let b be c(f). Factor 2*w**2 - 2*w**b + 2*w**2.
2*w**2
Let x be ((-6)/(-8))/((-90)/(-48)). Let 1/5*v + 0*v**3 + 0 - x*v**2 + 2/5*v**4 - 1/5*v**5 = 0. Cal