3*n**2.
(n + 2)**2
Suppose -4*h = 4*v - 12, 4*h - 6*v - 3 = -v. Suppose 2 = 2*l - h. Let 0*y + 0 + 2/9*y**l = 0. What is y?
0
Factor 304/9*j**2 - 1606/9*j - 14/9*j**3 - 484/9.
-2*(j - 11)**2*(7*j + 2)/9
Suppose 20 = 4*f - 9*f, 0 = -d + 4*f + 18. Let u(m) = 12*m - 120. Let z be u(10). Factor 0*p + z*p**3 + 1/2*p**4 + 0 - 1/2*p**d.
p**2*(p - 1)*(p + 1)/2
Let p(k) = -k**3 - 6*k**2 - 3*k - 9. Let r be p(-6). Let i be ((-2)/(-12))/(6/r). Let -i*g**2 + 1/4*g + 0 = 0. Calculate g.
0, 1
Let u(m) be the third derivative of m**5/140 + 3*m**4/56 - 2*m**3/7 - 7*m**2. Solve u(j) = 0 for j.
-4, 1
Factor 5*o**2 - 76*o**3 + 1 - 12*o**2 + 2*o + 80*o**3.
(o - 1)**2*(4*o + 1)
Factor 0*r + 2/7*r**3 + 0 + 0*r**2.
2*r**3/7
Let n(f) be the first derivative of 1 - 1/10*f**5 + 0*f**2 + 0*f**4 + f + 0*f**3. Let i(s) be the first derivative of n(s). Factor i(j).
-2*j**3
Suppose -71 = -5*d + 3*w, -3*d = -0*d - 4*w - 47. Let -20*n - 50*n**4 - 140*n**3 + d*n - 4 - 49*n - 138*n**2 - 4 = 0. What is n?
-1, -2/5
Let f be ((-20)/(-15))/(2/3). Suppose -2*b = k - 4, 10 = -5*k + f*b + 3*b. Find r such that 0 + 0*r - 1/3*r**4 + k*r**2 + 2/3*r**3 = 0.
0, 2
Let j(n) be the second derivative of -n**6/540 + n**5/180 + n**4/18 - n**3/2 - 5*n. Let w(r) be the second derivative of j(r). Factor w(f).
-2*(f - 2)*(f + 1)/3
Let c(k) = k**2 - k. Let d(t) = 5*t - 1. Let f(y) = -3*c(y) - d(y). Find o such that f(o) = 0.
-1, 1/3
Let w = -329/6 - -55. Let l(g) be the second derivative of -w*g**4 + g + 0*g**2 + 0 - 1/3*g**3. Factor l(b).
-2*b*(b + 1)
Let b(f) be the third derivative of f**5/45 - f**4/9 + 5*f**2. Suppose b(a) = 0. Calculate a.
0, 2
Let z be 8/(-10)*45/(-6). Suppose 4*j - 34 = -2*h, -z*h = -j - 2*h - 5. Factor 49*q**3 - 21*q**2 + j*q - 19*q - 12*q - 4.
(q - 1)*(7*q + 2)**2
Let t(v) be the third derivative of v**10/20160 - v**9/5040 - v**8/1120 + v**7/210 - 5*v**4/24 - v**2. Let w(p) be the second derivative of t(p). Factor w(f).
3*f**2*(f - 2)**2*(f + 2)/2
Let b = 473/8650 + -6/173. Let z(v) be the second derivative of 0 + 0*v**2 + 0*v**3 - 3*v + b*v**5 - 1/30*v**4. Determine g, given that z(g) = 0.
0, 1
Let s = 9 - 4. Factor -k**3 - 3*k**4 + 0*k**3 - 4*k**s + 2*k + 3*k**2 + 3*k**5.
-k*(k - 1)*(k + 1)**2*(k + 2)
Suppose 4 = p + 1. Let y(g) = g**2 - 2*g - 1. Let n be y(p). Factor 2/5*k**n + 2/5*k + 0.
2*k*(k + 1)/5
Let y(l) be the first derivative of -1/2*l**3 + 0*l - 1/2*l**2 - 2. Factor y(f).
-f*(3*f + 2)/2
Let s(v) = 9*v**4 + 49*v**3 + 115*v**2 + 11*v - 176. Let z(j) = -10*j**4 - 50*j**3 - 115*j**2 - 10*j + 175. Let o(x) = 5*s(x) + 4*z(x). Factor o(h).
5*(h - 1)*(h + 3)**2*(h + 4)
Let g(p) = p**2 + 10*p + 1. Let c be g(-8). Let a be (-4)/c - (-6)/15. Factor 0*y**2 + a*y**5 + 0*y**4 + 0 - 4/3*y**3 + 2/3*y.
2*y*(y - 1)**2*(y + 1)**2/3
Let n(g) = 22*g**2 + 9 + 9*g + 14*g**3 - 1 - 7. Let w(t) = 2 + 9*t + 21*t**2 + 14*t**3 - 1 - t**3. Let o(f) = 6*n(f) - 4*w(f). Suppose o(i) = 0. What is i?
-1, -1/4
Let y(j) be the third derivative of -j**7/70 + 17*j**6/120 - j**5/2 + j**4/2 + 4*j**3/3 - 2*j**2. Factor y(i).
-(i - 2)**3*(3*i + 1)
Let w(f) be the second derivative of f**6/84 - 2*f**5/35 + f**4/21 - f**2 - 3*f. Let o(y) be the first derivative of w(y). Factor o(b).
2*b*(b - 2)*(5*b - 2)/7
Let k be (-16)/(-40)*15/12. Let d(a) be the first derivative of -k*a**2 + 1 - 1/9*a**3 - 2/3*a. Factor d(o).
-(o + 1)*(o + 2)/3
Let p(u) = -u**2 - 15*u + 2. Let k be p(-15). Suppose 0*o = 4*o. Factor 2 + o*l**k - 3*l + l - 2*l**5 + 2*l**4 - 4*l**2 + 4*l**3.
-2*(l - 1)**3*(l + 1)**2
Let k(b) = b**3 - b**2 + 2*b - 5. Let t(d) be the second derivative of d**5/20 - d**4/12 - d**2/2 - 3*d. Let n(m) = -k(m) + 3*t(m). Let n(z) = 0. What is z?
-1, 1
Let l(b) be the second derivative of 1/15*b**4 + 0 + 0*b**2 + 6/25*b**5 + b + 3/10*b**6 + 0*b**3 + 5/42*b**7. Solve l(q) = 0.
-1, -2/5, 0
Factor -4*c**3 - 21*c - 8 + 2 - 15*c**2 + c**3 - 3.
-3*(c + 1)**2*(c + 3)
Let n(x) = -4*x**2 + 1. Let h(g) = 9*g**2 - 2. Let a(i) = -3*h(i) - 7*n(i). Factor a(v).
(v - 1)*(v + 1)
Suppose -7*n + 10 = -2*n. Suppose 6/5*d + 0 + 3/5*d**3 - 9/5*d**n = 0. What is d?
0, 1, 2
Let u(l) be the first derivative of 4*l**6/27 - 2*l**5/3 + 8*l**4/9 - 2*l**3/9 - 2*l**2/9 + 1. Solve u(a) = 0 for a.
-1/4, 0, 1, 2
Suppose -2*i = -2*i + i. Factor 0*s**3 - 1/3*s**2 + i*s + 1/3*s**4 + 0.
s**2*(s - 1)*(s + 1)/3
Let t be 13/3 - 6/18. Let h(w) be the first derivative of 0*w + 1/6*w**t + 0*w**2 + 1 - 2/9*w**3. Factor h(p).
2*p**2*(p - 1)/3
Suppose 0 = 3*w + 5*q - 8, -w - q - 3*q = -12. Let o be (-6)/w + 3/(-2). Suppose o*k**2 - 2/7*k**3 - 2/7*k**4 + 0 + 0*k = 0. What is k?
-1, 0
Let w = 37 - 35. Let p(h) be the second derivative of 0*h**3 + 0*h**6 + 0*h**4 + 0 + 3*h + 0*h**w + 1/21*h**7 + 0*h**5. Solve p(z) = 0.
0
Factor 0 - 1/2*d**4 + 0*d - 1/4*d**3 - 1/4*d**5 + 0*d**2.
-d**3*(d + 1)**2/4
Let r(s) = 4*s**5 - 7*s**4 - 3*s**3 + 11*s**2 - 5*s - 5. Let l(y) = 3*y**5 - 6*y**4 - 3*y**3 + 12*y**2 - 6*y - 6. Let d(j) = -5*l(j) + 6*r(j). Factor d(u).
3*u**2*(u - 1)**2*(3*u + 2)
Let t = 19 + -14. Let q(f) be the first derivative of 1/3*f**3 + 3/4*f**2 - 1 - 3/10*f**t - 1/12*f**6 - 1/4*f**4 + 1/2*f. Let q(m) = 0. Calculate m.
-1, 1
Suppose 3*q - 18 = 39. Let l = q + -17. Solve -24/11*b**4 - 8/11 - 82/11*b**3 + 48/11*b - 42/11*b**l = 0.
-2, 1/4, 1/3
Let i(y) be the third derivative of y**6/60 + 2*y**5/15 + y**4/12 - 2*y**3 - 33*y**2. Factor i(k).
2*(k - 1)*(k + 2)*(k + 3)
Let n = 13/10 - 4/5. Factor -1/2*k - n*k**2 + 0.
-k*(k + 1)/2
Let s(h) be the third derivative of 3*h**8/280 + 19*h**7/175 + 34*h**6/75 + 76*h**5/75 + 4*h**4/3 + 16*h**3/15 - h**2. Determine u so that s(u) = 0.
-2, -1, -2/3
Let s be (0 - -2)/2*0. Suppose s = -0*h + h - 2. Determine b, given that 2 + 0 + 6*b + h*b**2 + 2 = 0.
-2, -1
Let r(s) be the second derivative of 0*s**3 - 1/6*s**4 - 4*s + 0 + 0*s**2. Let r(l) = 0. What is l?
0
Let v be ((-26)/9 + 3)/(5/165). Determine l so that 5/3*l**2 + 4/3*l**4 + 0 + v*l**3 - 2/3*l = 0.
-2, -1, 0, 1/4
Let l(q) be the second derivative of -q**7/14 + 13*q**6/40 - 9*q**5/16 + 7*q**4/16 - q**3/8 + 10*q. Factor l(m).
-3*m*(m - 1)**3*(4*m - 1)/4
Let i(h) = -13*h**4 + 5*h**3 - 9*h**2 - 9*h + 10. Let b(v) = v**4 + v**3 + v - 1. Let c(z) = -24*b(z) - 3*i(z). Determine l so that c(l) = 0.
-2/5, 1
Let j(h) = h**2 + h - 1. Let v(y) be the second derivative of -1/3*y**3 + 0 + 1/20*y**5 + 2*y + 2*y**2 - 2/3*y**4. Let k(o) = -5*j(o) - v(o). Factor k(a).
-(a - 1)**3
Let g be 40/18 - (-2)/(-9). Suppose d = g - 0. Determine p, given that -2*p**3 + 0 - 2/3*p**4 - 2*p**d - 2/3*p = 0.
-1, 0
Let c(a) = a**3 - 10*a**2 + 2. Let k be c(10). Let x be (-1)/((-3)/(3/k)). Determine i so that 1/2*i**4 + 0 + x*i**5 - 1/2*i**2 + i - 3/2*i**3 = 0.
-2, -1, 0, 1
Let w(p) be the first derivative of 4 + 1/5*p**5 - 1/3*p**3 + 0*p**2 + 0*p**4 + 0*p. Factor w(x).
x**2*(x - 1)*(x + 1)
Let d = 141 + -2819/20. Let i(b) be the first derivative of 1 + d*b**4 - 1/30*b**6 + 0*b**3 + 0*b**5 + 0*b + 0*b**2. Factor i(l).
-l**3*(l - 1)*(l + 1)/5
Factor 3/4*r**3 + 3*r**5 + 0*r + 0*r**2 + 15/4*r**4 + 0.
3*r**3*(r + 1)*(4*r + 1)/4
Let b(n) = n**4 + n**3 + n**2. Let s(r) = -3*r**4 + 6*r**3 - 6*r**2 - 48*r - 48. Let v(m) = 6*b(m) + s(m). Factor v(k).
3*(k - 2)*(k + 2)**3
Suppose -d = -5*m + 1, 3*d - 13 = m - 2*m. Suppose 0 = i - m - 10. Factor -u**2 + u**4 - i + 11.
u**2*(u - 1)*(u + 1)
Let s(c) be the first derivative of -c**4/8 + 5*c**3/6 - c**2 - 13. Let s(r) = 0. What is r?
0, 1, 4
Let f(o) be the second derivative of 25*o**6/14 + 135*o**5/28 - 195*o**4/14 + 86*o**3/7 - 36*o**2/7 + 11*o. What is y in f(y) = 0?
-3, 2/5
Suppose -3*w + w - 4 = 0. Let v be w/3 - (-16)/6. Determine q, given that 0*q + 4/3*q**v - 2/3 + 0*q**3 - 2/3*q**4 = 0.
-1, 1
Suppose 3*a - 12 = 0, r - 12 - 10 = -5*a. Let u(c) = c**3 + 3*c**2 - c + 1. Let x be u(-3). Factor -1/3*d**3 + 1/3*d**5 + 0*d + 1/3*d**r - 1/3*d**x + 0.
d**2*(d - 1)**2*(d + 1)/3
Let b be 7 - (0/2 + -1). Let g(t) = b*t + t - 6*t**2 + 17*t - 32*t**3. Let y(z) = 11*z**3 + 2*z**2 - 9*z. Let a(q) = 5*g(q) + 14*y(q). Factor a(j).
-2*j*(j + 1)*(3*j - 2)
Factor 44 + c**4 - 43 + 0*c**2 - 2*c**2.
(c - 1)**2*(c + 1)**2
Let a(w) be the first derivative of -w**3/5 - 3*w**2/5 - 11. Let a(q) = 0. Calculate q.
-2, 0
Let a = 36673 - 182692/5. Let h = 135 - a. Factor -h*p**2 + 0*p + 