 of h**6/15 + 8*h**5/5 + 16*h**4 + 256*h**3/3 + 256*h**2 - 6*h. Let p(o) = 0. Calculate o.
-4
Factor -9*t**3 + 2*t**2 + 12*t**3 + 4*t**2.
3*t**2*(t + 2)
Suppose -u - 3 = -6. Factor 7 + 12*j**2 - j**3 - 24*j - j**u + 9.
-2*(j - 2)**3
Suppose -4*p - 4*l = -8, 0 = -3*p + 5*p - 5*l + 31. Let d be (-3)/5*2/p. Factor 0 - d*o + 2/5*o**2.
2*o*(o - 1)/5
Let n(d) = 2*d - 9. Let p be n(6). Find g such that 3*g**3 - 3*g**3 + 2*g**p + 6*g**4 - 4*g**2 = 0.
-1, 0, 2/3
Let y(q) = -3*q - 16. Let b be y(-6). Factor -2*s**b + 1 - 3/2*s**3 + 1/2*s.
-(s + 1)**2*(3*s - 2)/2
Suppose 0 - 6/19*g**3 + 8/19*g + 0*g**2 + 2/19*g**4 = 0. Calculate g.
-1, 0, 2
Let v = 21 + -7. Factor -11*u**3 + v*u**3 + u - u**2 - 4*u**3 + u**4.
u*(u - 1)**2*(u + 1)
Find y such that -9/2*y**2 - 3 - 29/2*y = 0.
-3, -2/9
Let s(u) be the second derivative of -2*u**6/75 - 3*u**5/5 - 5*u**4 - 50*u**3/3 - 3*u. Factor s(t).
-4*t*(t + 5)**3/5
Suppose -4*k - 81 + 40 - 3*k**2 + 35 + 5*k**2 = 0. What is k?
-1, 3
Let b be (3/9)/(4 + 6). Let q(x) be the second derivative of 0 + 0*x**2 - 1/12*x**4 - 1/168*x**7 + 2*x - 1/24*x**3 - b*x**6 - 3/40*x**5. Factor q(c).
-c*(c + 1)**4/4
Factor -1 + 5/6*b + 7/6*b**2 - 5/6*b**3 - 1/6*b**4.
-(b - 1)**2*(b + 1)*(b + 6)/6
Let n(t) be the third derivative of t**7/210 + t**6/120 - t**5/60 - t**4/24 - 7*t**2. Solve n(k) = 0 for k.
-1, 0, 1
Let x(o) = o + 12. Suppose -2*d - 27 = d. Let h be x(d). What is n in -15*n**3 - 2*n**2 + 3*n**h - 7*n + 10*n**2 - 2*n**5 + 5*n + 8*n**4 = 0?
0, 1
Determine l so that -228*l**4 + 16*l**3 - 4 + 144*l**5 + 51*l**2 + 2*l**2 + 19*l**2 = 0.
-1/3, 1/4, 1
Let r be ((-3)/(-30))/((-40)/25 - -2). Find d such that r*d - 1/4*d**2 + 0 = 0.
0, 1
Let o(x) = -3*x**3 + 9*x**2 - 5*x + 3. Let b(d) = 4*d**3 - 13*d**2 + 7*d - 4. Let q(v) = -5*b(v) - 7*o(v). Let s be q(-1). Factor s - 2/7*i - 2/7*i**2.
-2*i*(i + 1)/7
Let d(i) be the third derivative of i**9/272160 + i**8/90720 - i**7/22680 - i**6/3240 + i**5/30 + i**2. Let s(g) be the third derivative of d(g). Factor s(a).
2*(a - 1)*(a + 1)**2/9
Let l(f) be the third derivative of f**6/40 - 3*f**4/8 - f**3 + 24*f**2. Factor l(u).
3*(u - 2)*(u + 1)**2
Let g(x) be the third derivative of -x**6/600 + x**5/50 - 3*x**4/40 - x**3 + 6*x**2. Let y(b) be the first derivative of g(b). Let y(d) = 0. Calculate d.
1, 3
Let a(b) be the second derivative of -3*b**5/40 + b**4/3 - b**3/4 - b**2/2 + 5*b. Solve a(i) = 0.
-1/3, 1, 2
Let r(q) = q**2 + 14*q - 30. Let i be r(-16). Find w, given that -1/4*w**i - w - 1 = 0.
-2
Let o be -1*(3 + (-116)/28). Factor 48/7*p**3 + o*p**2 - 14*p**5 + 0 + 0*p + 6*p**4.
-2*p**2*(p - 1)*(7*p + 2)**2/7
Let d be (-38)/(-8) + 2/8. Suppose 4*q**d - 4*q**3 - 2*q**5 + 3*q - q = 0. Calculate q.
-1, 0, 1
Let a(l) be the second derivative of 0*l**2 + 8/27*l**4 + 0 + 7/90*l**5 - 4*l + 4/27*l**3. Factor a(i).
2*i*(i + 2)*(7*i + 2)/9
Let j(y) = -2*y - 1. Let t be j(-3). Suppose t*l - 1 = 24. Find a, given that -4*a**3 - 4*a + 4*a**2 - 3*a**2 + l*a**2 + 1 + a**4 = 0.
1
Let v(k) be the third derivative of -k**5/300 - k**4/15 - k**3/2 + 32*k**2. Solve v(j) = 0.
-5, -3
Let z be (2 - (-1)/15*-69) + 3. Factor -z + 1/5*o + 1/5*o**2.
(o - 1)*(o + 2)/5
Let r(o) = -11*o**4 + 14*o**2 - 8*o - 11. Let u(f) = 7*f**4 - 9*f**2 + 5*f + 7. Let y(b) = 5*r(b) + 8*u(b). Factor y(q).
(q - 1)**2*(q + 1)**2
Suppose 5*u**4 + 2*u + u**5 + 7*u**2 - 2*u**3 - u**3 + 12*u**3 = 0. What is u?
-2, -1, 0
Suppose -3*m = -9*m. Let a be (-24)/(-6) - (m + 2). Let -14/5*z**3 + 0 + 6/5*z**4 - 6/5*z**a + 4/5*z + 2*z**5 = 0. What is z?
-1, 0, 2/5, 1
Let w(l) be the first derivative of -8*l**6/15 + 12*l**5/25 + l**4/5 + 1. Factor w(q).
-4*q**3*(q - 1)*(4*q + 1)/5
Let s(p) be the first derivative of -p**3/12 - p**2/2 - 3*p/4 - 7. Let s(h) = 0. Calculate h.
-3, -1
Let s(u) be the third derivative of -u**6/360 + u**3/3 + 3*u**2. Let v(h) be the first derivative of s(h). Find y, given that v(y) = 0.
0
Let b(z) be the second derivative of z**8/336 + z**7/105 + z**6/120 + z**2 + 3*z. Let g(r) be the first derivative of b(r). Factor g(q).
q**3*(q + 1)**2
Let i be (-125)/(-75) + (-1)/(-3). Factor -2/11*f + 2/11*f**i + 2/11*f**3 - 2/11.
2*(f - 1)*(f + 1)**2/11
Let f(u) be the first derivative of u**7/105 + u**6/30 - u**4/6 - u**3/3 - u**2/2 - 2. Let w(o) be the second derivative of f(o). Factor w(a).
2*(a - 1)*(a + 1)**3
Let c(k) be the first derivative of 2*k**5/125 + k**4/50 - 2*k**3/25 - k**2/5 - 4*k/25 + 10. Factor c(j).
2*(j - 2)*(j + 1)**3/25
Let d be 1/5 + 43/(-240). Let n(b) be the second derivative of 0 + 2*b - 1/8*b**2 + d*b**4 - 1/24*b**3 + 1/80*b**5. Let n(p) = 0. What is p?
-1, 1
Let x(i) be the third derivative of -1/336*i**8 + 0*i**3 + 1/120*i**6 + 1/60*i**5 + 0*i + 0*i**4 + 0 - 2*i**2 - 1/210*i**7. Solve x(g) = 0.
-1, 0, 1
Factor 12*k**2 - 6*k**5 + 31*k**4 - 16*k**4 + 5*k**5 - 18*k**4 + 8*k + 2*k**3.
-k*(k - 2)*(k + 1)*(k + 2)**2
Let r be 1625/35 + 1 - 2. Let v = 4176/91 - r. Determine k, given that v*k**3 + 0 + 2/13*k**4 + 2/13*k + 6/13*k**2 = 0.
-1, 0
Let x(c) be the third derivative of -1/72*c**4 - 4*c**2 + 0*c**3 + 1/60*c**5 + 0*c + 0. Factor x(j).
j*(3*j - 1)/3
Let k be ((-16)/(-12))/((-3)/(-9)). Factor 0*t**2 + 3/5*t**k + 4/5*t + 0 - 7/5*t**3.
t*(t - 2)*(t - 1)*(3*t + 2)/5
Let m(d) = -2*d**2 - 16*d - 27. Let x(v) be the second derivative of v**4/6 + 8*v**3/3 + 14*v**2 - 4*v. Let w(u) = 4*m(u) + 5*x(u). What is f in w(f) = 0?
-4
Let c(w) be the third derivative of -1/60*w**5 + 1/200*w**6 + 3/350*w**7 + 0*w**3 - 5*w**2 + 0 + 1/120*w**4 + 0*w. Find k, given that c(k) = 0.
-1, 0, 1/3
Let j(a) be the first derivative of 0*a - 1 - 1/6*a**3 + 1/4*a**2. Factor j(x).
-x*(x - 1)/2
Suppose -3*k + 6 - 4 = 2*n, -k - 1 = n. Let c(s) be the second derivative of 0 + 1/48*s**k + 1/8*s**2 + 1/12*s**3 + 2*s. Solve c(l) = 0 for l.
-1
Let k(y) be the third derivative of -y**8/336 + y**7/70 - y**5/15 + 11*y**2. Factor k(j).
-j**2*(j - 2)**2*(j + 1)
Let r = -1019 + 9173/9. What is k in -4/9*k**3 - 8/9 + 2/3*k**2 - r*k**4 + 8/9*k = 0?
-2, 1
Let k be 0/(-2)*(-5)/(-10). Suppose s = 5*i - 20, i - 5*s + k*s = 28. Suppose 0 + c + 1/4*c**i + c**2 = 0. Calculate c.
-2, 0
Let i be (-92)/(-5) + 12/(-30). Suppose 3*k = -6 + i. Find o, given that 0 - 2/9*o**2 - 2/3*o**3 - 2/3*o**k + 0*o - 2/9*o**5 = 0.
-1, 0
Let u(t) be the first derivative of 2*t**3/39 - 3*t**2/13 - 16. Factor u(g).
2*g*(g - 3)/13
Let p be -4*(-3)/(27/33). Let t = 15 - p. Find v such that t*v + 0*v**2 + 0 - 1/3*v**3 = 0.
-1, 0, 1
Let l(h) be the third derivative of h**8/840 + h**3/3 + 3*h**2. Let k(a) be the first derivative of l(a). Find i, given that k(i) = 0.
0
What is a in 0 + 4/3*a + 2/3*a**3 - 2*a**2 = 0?
0, 1, 2
What is g in 16/3 - 40/3*g**3 - 8/3*g**5 + 16*g + 20/3*g**2 - 12*g**4 = 0?
-2, -1, -1/2, 1
Let 4/9*p**2 - 16/9 - 8/9*p + 2/9*p**3 = 0. Calculate p.
-2, 2
Let x(g) = -12*g**3 + 32*g**2 + 192*g + 256. Let c(k) = k**3 + k**2. Let s(n) = -16*c(n) - x(n). Factor s(r).
-4*(r + 4)**3
Let v(k) = -3*k**2 - 5*k**3 - 2*k**4 + 3 - 1 + 5*k + 3. Let z(o) = o**4 + 3*o**3 + 2*o**2 - 3*o - 3. Let t(d) = 3*v(d) + 5*z(d). Determine p so that t(p) = 0.
-1, 0, 1
Factor -24*y + 67*y**2 - 68*y**3 + 76*y**2 - 27*y**2 - 52*y**3 + 28*y**4.
4*y*(y - 3)*(y - 1)*(7*y - 2)
Suppose -3 - 12 = -3*f. Find w such that 1/4 - 3/4*w + 1/2*w**3 + 1/2*w**2 + 1/4*w**f - 3/4*w**4 = 0.
-1, 1
Let m be (22/(-10))/((-5)/(-295)). Let i = -129 - m. Factor 2/5*o - i*o**2 + 4/5*o**4 - 2/5*o**5 + 0 + 0*o**3.
-2*o*(o - 1)**3*(o + 1)/5
Suppose 4*z = z + 7*z. Find y such that 2/5*y - 4/5*y**3 + 0 + z*y**4 + 2/5*y**5 + 0*y**2 = 0.
-1, 0, 1
Let v(t) = t. Let c(m) = -5*m**3 - 25*m. Let j(q) = -c(q) - 30*v(q). Factor j(p).
5*p*(p - 1)*(p + 1)
Suppose -q + 0*q + 3 = 0. Suppose -2*a**2 + a**q + 5*a - 5*a + 0*a**3 = 0. Calculate a.
0, 2
Let k(n) be the first derivative of -1 - 1/4*n**3 + 3/16*n**4 + 0*n - 1/20*n**5 + 1/8*n**2. Let k(y) = 0. Calculate y.
0, 1
Suppose 0 = -3*x - 10 - 2. Let c(g) = g**4 - g**3 - g**2 - g + 1. Let w(d) = -d**4 - 2*d**3 + 7*d**2 + 4*d - 4. Let f(v) = x*c(v) - w(v). Factor f(k).
-3*k**2*(k - 1)**2
Suppose 0 = -4*r - r + 15. Let l be r/6 + 6/4. Determine q so that 6/5*q**l + 2/5 + 2/5*q**3 + 6/5*q = 0.
-1
Let p(c) be the first derivative of c**5/10 - c**4/2 + 5*c**3/6 - c**2/2 - 5. Factor p(s).
s*(s - 2)*(s - 1)**