- 2 + 2*n**2.
-2*(n + 1)*(3*n + 1)
Let m(h) = h + 2. Let l be m(0). Suppose l*c = -0 + 4. Suppose -1/3*b + 0 - 1/3*b**3 - 2/3*b**c = 0. What is b?
-1, 0
Let q(n) be the third derivative of -n**5/20 - n**4/8 + 4*n**2. Let q(k) = 0. What is k?
-1, 0
Let z(w) be the first derivative of -w**6/72 - w**5/15 - w**4/8 - w**3/9 - 5*w**2/2 + 2. Let r(v) be the second derivative of z(v). Factor r(a).
-(a + 1)**2*(5*a + 2)/3
Suppose -5*r + 20 = -m, 4*m + 0*m + 2*r - 8 = 0. Let j(f) be the second derivative of 1/4*f**3 - 2*f + 1/2*f**2 + 7/40*f**5 - 1/2*f**4 + m. Factor j(w).
(w - 1)**2*(7*w + 2)/2
Let d be -5 + 4 + (-5 - -8). What is s in 2*s**5 - 3/2*s**3 - 5/2*s**4 - 1/2*s + 5/2*s**d + 0 = 0?
-1, 0, 1/4, 1
Let k = 14 + -27/2. Let g be ((-40)/(-30))/((-4)/(-6)). Solve -y - k*y**g + 1/2*y**3 + 0 = 0.
-1, 0, 2
Factor 8/3*k**2 - 2 + 2/3*k.
2*(k + 1)*(4*k - 3)/3
Determine h so that 2/9*h - 4/9*h**2 + 0 - 14/9*h**3 - 8/9*h**4 = 0.
-1, 0, 1/4
Let u(z) be the first derivative of z**6/160 - z**5/80 + 3*z**2/2 + 3. Let w(m) be the second derivative of u(m). Factor w(v).
3*v**2*(v - 1)/4
Let n be 194/8 - 5/20. Let x be (-2)/5*(-15)/n. Determine c so that -1/4*c**2 + 0 + 1/4*c**3 - x*c + 1/4*c**4 = 0.
-1, 0, 1
Suppose 19*l + 15 = 20*l + 5*o, -o + 3 = 3*l. Let a(u) be the second derivative of u**3 + l - 4*u - 3/2*u**2 - 1/4*u**4. Find z such that a(z) = 0.
1
Let z(d) be the third derivative of -d**9/80640 + d**8/26880 - d**5/30 - d**2. Let c(g) be the third derivative of z(g). Factor c(t).
-3*t**2*(t - 1)/4
Let h(d) be the first derivative of 7/18*d**4 + 2/3*d**2 + d**3 - 1 - d. Let u(k) be the first derivative of h(k). Factor u(c).
2*(c + 1)*(7*c + 2)/3
Let n(z) be the third derivative of -z**5/20 - z**4/8 + z**3 + 2*z**2 - 13. Factor n(v).
-3*(v - 1)*(v + 2)
Factor -2*o + 2*o**3 + 91*o**2 - 91*o**2.
2*o*(o - 1)*(o + 1)
Let p be (24/(-20))/(6/30 + -1). Let p*j**2 - 3/2 - 3/4*j**5 + 3*j**3 - 9/4*j + 0*j**4 = 0. Calculate j.
-1, 1, 2
Suppose 15*t**4 + 13*t**2 + 28*t**3 + 17*t**2 + 27*t**3 = 0. Calculate t.
-3, -2/3, 0
Solve 1/3*m**4 - 1/3*m**2 + 0*m**3 + 0*m + 0 = 0.
-1, 0, 1
Let q = -12 + 16. Suppose -q*x = -7*x - k + 7, 4*x - 21 = k. Factor 1/2*z**5 + 0 - 1/2*z**3 + 0*z + 0*z**2 + 0*z**x.
z**3*(z - 1)*(z + 1)/2
Let j(i) = 4*i**2 + 29*i + 41. Let r(d) = -4*d**2 + 25 + 17 + 30*d + 2*d**2 + 6*d**2. Let u(x) = -6*j(x) + 5*r(x). Solve u(o) = 0.
-3
Suppose -3*h = -5*f + 2*h, -2*h + 3*h = 0. Factor -4/3*a**4 + 0 - 4/3*a**3 + 0*a**2 + f*a.
-4*a**3*(a + 1)/3
Let v(x) be the first derivative of -4 - 8*x**4 - 4*x**2 + 0*x + 28/3*x**3 + 12/5*x**5. Factor v(b).
4*b*(b - 1)**2*(3*b - 2)
Suppose 0 = n - 5*n + 12. Suppose -m + 0 + n = 0. Let -m*p + 2*p**2 + 3*p - 7*p**4 + 5*p**3 = 0. Calculate p.
-2/7, 0, 1
Let w(y) = 21*y**2 - 11*y - 21. Let x(d) = 4*d**2 - 2*d - 4. Let q(b) = 2*w(b) - 11*x(b). Suppose q(l) = 0. What is l?
-1, 1
Solve 2*g + 0 - 2/5*g**2 = 0 for g.
0, 5
Let v(y) be the third derivative of -y**5/180 - y**4/18 - 2*y**3/9 + 5*y**2. Solve v(n) = 0.
-2
Let t = 7 + -4. Suppose -t*m = m. Factor m*a**2 - 2*a**2 + 16*a**2 + 4*a**3 + 4*a - 6*a**4 + 0*a.
-2*a*(a - 2)*(a + 1)*(3*a + 1)
Let h(a) be the first derivative of 0*a + 2/3*a**3 + 0*a**2 + 3. Find d such that h(d) = 0.
0
Let t(g) be the second derivative of g**7/168 - g**6/24 + g**5/10 - g**4/12 + 8*g. Factor t(w).
w**2*(w - 2)**2*(w - 1)/4
Let g(f) = -f**2 + 9*f - 8. Let a be g(10). Let t be (-26)/(-42) + 6/a. Factor -4/7*d**2 + t - 2/7*d.
-2*(d + 1)*(2*d - 1)/7
Determine p, given that -1/3*p**4 + 1/3*p**5 - p**3 + 1/3*p**2 + 2/3*p + 0 = 0.
-1, 0, 1, 2
Let q(b) = 4*b**2 - 4*b + 2. Let h(c) = -8*c**2 + 8*c - 5. Let y(k) = -2*h(k) - 5*q(k). Find n, given that y(n) = 0.
0, 1
Let v(u) = 2*u**5 - 5*u**4 - 10*u**3 - u**2 + 7*u - 7. Let x(l) = -l**4 - l**2 + l - 1. Let i(z) = -2*v(z) + 14*x(z). Solve i(w) = 0 for w.
-3, 0, 1
Let b be (41 - 43)*(-2)/20. Factor 1/5*y + 0 + b*y**4 - 1/5*y**2 - 1/5*y**3.
y*(y - 1)**2*(y + 1)/5
Let k be 3*(-2 + (-20)/(-6)). Let i(z) be the first derivative of 6/5*z**3 + 2 - 4/5*z + 2/5*z**5 + 1/5*z**2 - 13/10*z**k. Find m, given that i(m) = 0.
-2/5, 1
Let q(h) = h**3 - h**2 - h + 1. Let m(n) = 6*n**3 - 4*n + 4. Suppose 5*g - 10*g = 20. Let v be -2*(10/g + 3). Let l(d) = v*m(d) + 4*q(d). Factor l(u).
-2*u**2*(u + 2)
Let o(w) be the first derivative of -2 - 1/10*w**5 + 0*w + 0*w**2 + 0*w**4 + 1/6*w**3. Factor o(r).
-r**2*(r - 1)*(r + 1)/2
Let s(q) = -q**3 - 33*q**2 + 33*q - 31. Let u be s(-34). Let w(k) be the first derivative of -2/11*k**u - 2/11*k**2 - 1 + 2/11*k. Factor w(h).
-2*(h + 1)*(3*h - 1)/11
Let h be 1/(2/(18/3)). Factor -5*x**2 - 2 - 2 + 8*x - x**3 + 5*x**3 - h*x**3.
(x - 2)**2*(x - 1)
Let v be (-4)/(-2) + 7/(-5). Suppose -5*t - 1 - 3 = -2*m, -3*t = 2*m - 4. Factor 3/5*k**m + 1/5 + 1/5*k**3 + v*k.
(k + 1)**3/5
Factor 14/3*v**3 + 0*v + 0 + 4/3*v**2.
2*v**2*(7*v + 2)/3
Let j(m) = m**4 - m**3 + 5*m**2 + 5*m - 6. Let u(o) = -2*o**4 + 4*o**3 - 15*o**2 - 15*o + 17. Let b(z) = 11*j(z) + 4*u(z). Let b(l) = 0. Calculate l.
-2, -1, 1/3, 1
Let v(c) be the third derivative of c**6/540 - c**4/36 + c**3/6 + 2*c**2. Let j(a) be the first derivative of v(a). Factor j(n).
2*(n - 1)*(n + 1)/3
Find k, given that 4*k**5 + 4*k - 28 + 56*k**2 - 7*k**3 - 31*k**3 - 28*k**4 + 30*k**3 = 0.
-1, 1, 7
Let c be (-30)/9 + (-2)/3. Let x(p) = 2*p**3 - 3*p**2 + 7*p + 2. Let j(u) = u**3 - 3*u**2 + 6*u + 2. Let f(o) = c*j(o) + 3*x(o). Factor f(t).
(t - 1)*(t + 2)*(2*t + 1)
Factor 3*u**3 - 6*u - 2 - 2*u**3 - 6*u**2 - 3*u**3.
-2*(u + 1)**3
Let s be (2/6*0)/1. Solve 0*v + s*v**2 + 0*v**3 + 0 + 2/5*v**4 = 0 for v.
0
Let w = -268 + 1342/5. Determine d, given that -w*d**2 + 4/5 - 2/5*d = 0.
-2, 1
Let j(q) = q - 2. Let p be j(5). Suppose -2*t = p*t. Factor 2/3*o**3 + 2/3*o + t - 4/3*o**2.
2*o*(o - 1)**2/3
Let u(o) be the second derivative of -o**4/28 - 2*o**3/7 - 35*o. Factor u(b).
-3*b*(b + 4)/7
Suppose s + v + 4*v = 15, 30 = -2*s + 5*v. Let w = s + 7. Suppose 1/5*k - 1/5*k**w + 0 = 0. Calculate k.
0, 1
Let i(g) be the third derivative of -g**8/84 - 4*g**7/105 - g**6/30 - g**2. Determine v, given that i(v) = 0.
-1, 0
Let r(v) be the second derivative of -3*v + v**2 + 1/6*v**4 - 2/3*v**3 + 0. Determine x, given that r(x) = 0.
1
Factor -87*z**4 + 8655*z + 4*z**5 + 894*z**3 - 3552*z - 3726*z**2 - 2187 - z**5.
3*(z - 9)**3*(z - 1)**2
Let v(h) be the first derivative of -h**3/3 - 5*h**2 - 6*h - 1. Let r be v(-9). Factor r*s**2 + 1 + s**3 + 0*s + 0*s**3 + 3*s.
(s + 1)**3
Let a = -4731292/429 + 11029. Let p = a - 2/143. Find h such that 0 + p*h**2 - 1/3*h = 0.
0, 1
Let x(v) be the second derivative of 0*v**3 + 0*v**4 + 0 - 5*v - 1/90*v**5 + 0*v**2. Solve x(j) = 0 for j.
0
Let w = 29/35 + -1/35. Let -2*m**3 + 0 - 2/5*m**5 + 0*m + w*m**2 + 8/5*m**4 = 0. What is m?
0, 1, 2
Let g(n) be the second derivative of 0 - 2*n - 1/72*n**4 - 1/120*n**5 - 1/540*n**6 - 1/3*n**3 + 0*n**2. Let j(c) be the second derivative of g(c). Factor j(f).
-(f + 1)*(2*f + 1)/3
Let l(w) be the second derivative of 0*w**2 + 0 + 1/3*w**3 - 1/10*w**5 - 2*w + 0*w**4. Factor l(d).
-2*d*(d - 1)*(d + 1)
Let c = 1513 + -83187/55. Let m = 21/11 - c. Factor 9/5*s**3 + 0 + 2/5*s + 1/5*s**5 + s**4 + m*s**2.
s*(s + 1)**3*(s + 2)/5
Let t(v) be the second derivative of v**7/112 - 3*v**6/80 + 3*v**5/80 + v**4/16 - 3*v**3/16 + 3*v**2/16 - 13*v. Factor t(a).
3*(a - 1)**4*(a + 1)/8
Let q(g) = 16*g**4 + 24*g**3 + 3*g**2 - 4*g + 3. Let m(d) = 32*d**4 + 48*d**3 + 7*d**2 - 7*d + 7. Let p(j) = 2*m(j) - 5*q(j). Factor p(v).
-(v + 1)**2*(4*v - 1)**2
Let q(g) = g**2 - 2*g - 1. Let j = 105 + -103. Let l = -1 + 0. Let d(u) = u**2. Let h(k) = j*d(k) + l*q(k). Determine a, given that h(a) = 0.
-1
Let m = 10 + -7. Factor -b + b**2 + m*b**2 + 2*b**3 + 3*b.
2*b*(b + 1)**2
Let k(v) = 3*v**2 - 3*v - 3. Let n = 14 - 8. Let j(b) = -b**2 - 4*b + 0*b + 2 + n*b. Let i(g) = -5*j(g) - 2*k(g). Factor i(x).
-(x + 2)**2
Let d(y) be the first derivative of y**3/12 - 3*y**2/8 + 8. Let d(p) = 0. What is p?
0, 3
Let q(o) be the second derivative of 0 + 0*o**3 + 1/195*o**6 + 1/78*o**4 + 1/65*o**5 + o + 0*o**2. Find m such that q(m) = 0.
-1, 0
Suppose 0 = -0*z - z + 3. Find d, given that -3 - 26*d**2 + 4*d + 27*d**2 - 4*d**z + 2 = 0.
-1, 1/4, 1
Let s(t) be the third derivative of -t**10/22680 + t**9/5670 + t**4