5*n.
(n - 1)**2*(n + 2)
Let b = -7218/5 - -1450. Factor 12/5*u**4 + 4/5 + 2/5*u**5 + b*u**2 + 28/5*u**3 + 18/5*u.
2*(u + 1)**4*(u + 2)/5
Let n = 93/55 + -12/11. Factor 8/5*x + 6/5*x**2 + 0*x**3 - 1/5*x**4 + n.
-(x - 3)*(x + 1)**3/5
Let x(h) be the second derivative of -h**5/120 + 11*h**4/72 + h**3/36 - 11*h**2/12 + 5*h. Factor x(u).
-(u - 11)*(u - 1)*(u + 1)/6
Let q(v) be the first derivative of -3/10*v**4 + 1/5*v**3 + 5 + 0*v + 0*v**2. Let q(z) = 0. Calculate z.
0, 1/2
Let z = -4727/24 + 197. Let i(y) be the third derivative of 0 - 1/60*y**5 + z*y**4 + 0*y + 4*y**2 + 0*y**3. Factor i(c).
-c*(c - 1)
Solve 0 + 1/7*c + 1/7*c**3 + 2/7*c**2 = 0 for c.
-1, 0
Let v(y) be the second derivative of y**6/150 + y**5/50 - y**3/15 - y**2/10 - 18*y. Factor v(n).
(n - 1)*(n + 1)**3/5
Suppose 15*h = 14*h + 3. Let g(w) be the second derivative of 1/20*w**5 + 0*w**2 + w + 1/12*w**h + 0 - 5/48*w**4 - 1/120*w**6. Let g(i) = 0. What is i?
0, 1, 2
Let m(j) be the first derivative of 0*j**2 - 2 - 1/6*j**3 + 0*j**4 + 2*j + 1/20*j**5. Let f(y) be the first derivative of m(y). Let f(t) = 0. What is t?
-1, 0, 1
Suppose 0*y = y. Determine i, given that y*i**2 + 0 + 0*i + 2/11*i**3 = 0.
0
Let m = -88 - -90. Let q be (-1)/(-4) + 2/24. Factor 2/3*k - 1/3*k**m - q.
-(k - 1)**2/3
Let h = 111/4 - 223/8. Let l = h + 3/8. Factor -1/2*z**2 + 1/4*z + l*z**3 + 0.
z*(z - 1)**2/4
Suppose i - 3*i = 0. Let k = 2 + i. Factor -k*h**2 + 2*h + 4*h**2 - h**2.
h*(h + 2)
Suppose -4*j = -5*q, 2*j = -j + 2*q. Suppose j*a - 5*a + 15 = 0. Suppose -4/3 + 10/3*d**a + 14/3*d - 6*d**2 - 2/3*d**4 = 0. What is d?
1, 2
Factor -5/2 + 1/2*j**2 - 2*j.
(j - 5)*(j + 1)/2
Let d be 10/(-3)*12/(-10). Suppose y - d = -y. Factor b - y*b**2 + 5*b**2 - 2*b**2.
b*(b + 1)
Let l(q) be the first derivative of -q**6/90 + 2*q**5/15 - 2*q**4/3 - 2*q**3 + 9. Let z(f) be the third derivative of l(f). Let z(j) = 0. Calculate j.
2
Let u(m) = m**3 - m**2 - 3*m + 9. Let v be u(-2). Factor -4/3*q**v + 2/3*q + 2/3 + 2/3*q**4 + 2/3*q**5 - 4/3*q**2.
2*(q - 1)**2*(q + 1)**3/3
Let u(v) be the third derivative of v**5/20 + 3*v**4/4 + 4*v**3 + 12*v**2 - v. Factor u(o).
3*(o + 2)*(o + 4)
Let y(c) be the second derivative of c + 7/20*c**5 - 19/12*c**4 + 4/3*c**3 + 0 + 2*c**2. Suppose y(m) = 0. Calculate m.
-2/7, 1, 2
Let h(g) be the second derivative of -g**5/40 + g**4/6 - 5*g**3/12 + g**2/2 + 7*g. Solve h(y) = 0.
1, 2
Let g(v) = v**2 - 4. Let u be g(3). Find l such that 2*l**u + 6*l**4 + 2*l**4 + 3*l**5 + 2*l**2 - 4*l**2 + l**3 = 0.
-1, 0, 2/5
Suppose 5*o - 8 = 2*c + 23, 3 = 3*o + 4*c. Suppose o*m - 3*m**3 - 2*m**2 + 5*m**2 + m = 0. Calculate m.
-1, 0, 2
Suppose -14*s - 5 + 5 = 0. Factor s*w**2 + 0 - 2/7*w**3 + 0*w - 8/7*w**5 + 10/7*w**4.
-2*w**3*(w - 1)*(4*w - 1)/7
Let a(x) = 2*x**3 - 7*x**2 - 2*x + 7. Let t(n) = -3*n**3 + 11*n**2 + 3*n - 11. Let h(y) = 8*a(y) + 5*t(y). Let h(m) = 0. What is m?
-1, 1
Let w(f) be the third derivative of 3*f**2 + 1/720*f**6 - 1/36*f**3 + 0*f - 1/144*f**4 + 1/360*f**5 + 0. Solve w(n) = 0 for n.
-1, 1
Let r(q) = -7*q**4 + 17*q**3 - 15*q**2 + 7*q + 2. Let s(z) = 36*z**4 - 86*z**3 + 75*z**2 - 36*z - 11. Let l(t) = 11*r(t) + 2*s(t). Factor l(n).
-5*n*(n - 1)**3
Let u(a) be the third derivative of a**8/9240 + a**7/924 + a**6/330 - a**5/165 + a**4/24 - 2*a**2. Let q(v) be the second derivative of u(v). Factor q(h).
2*(h + 2)**2*(4*h - 1)/11
Let i(b) be the third derivative of -b**9/60480 + b**8/20160 + b**7/5040 - b**6/720 + b**5/20 - 2*b**2. Let o(r) be the third derivative of i(r). Factor o(u).
-(u - 1)**2*(u + 1)
Suppose 4/7*i - 2/7*i**4 - 4/7*i**3 + 0 + 2/7*i**2 = 0. Calculate i.
-2, -1, 0, 1
Let i(r) = r**2. Let d(f) = f + 12*f**2 - f**3 - 2*f - 3*f**2. Let n(k) = k**3 - 1. Let c be n(-1). Let u(t) = c*d(t) + 14*i(t). Find l, given that u(l) = 0.
0, 1
Let l(p) = -p**3 + 17*p**2 + 60*p. Let d be l(20). Factor 1/2*t**2 - 1/4*t**3 + d*t + 0.
-t**2*(t - 2)/4
Let o(p) be the third derivative of -p**10/15120 - p**9/3780 + p**7/630 + p**6/360 + p**4/8 + 2*p**2. Let b(h) be the second derivative of o(h). Factor b(u).
-2*u*(u - 1)*(u + 1)**3
Let b(w) be the third derivative of -w**7/120 + 121*w**6/480 - 99*w**5/40 + 19*w**4/3 - 16*w**3/3 + 53*w**2. Determine h, given that b(h) = 0.
2/7, 1, 8
Let o(c) be the first derivative of 5*c**6/6 - 5*c**4/2 + 5*c**2/2 + 19. Solve o(u) = 0.
-1, 0, 1
Let h = 685/2 - 341. Let h*o + 9/4 + 1/4*o**2 = 0. Calculate o.
-3
Suppose 3*w - 8 = c, -4*c - 3 = 5. Suppose 2/3*j**4 + 0 + 0*j + 2/3*j**w - 4/3*j**3 = 0. What is j?
0, 1
Let a(x) be the third derivative of -x**8/1680 + x**7/350 - x**6/200 + x**5/300 + x**2. Solve a(n) = 0.
0, 1
Let b(v) be the first derivative of -v**4/8 + v**3/6 + v**2 - 2*v + 3. Let b(a) = 0. Calculate a.
-2, 1, 2
Suppose 3*i - 10 = -1. What is a in 3*a**2 + 2*a - 6 - i + a + 3*a = 0?
-3, 1
Let o(p) = -p**2 + p. Let q = 2 - 4. Let b(n) = n**2 - 1. Let m(i) = q*b(i) - 3*o(i). Factor m(s).
(s - 2)*(s - 1)
Let g(c) be the first derivative of c - 1/2*c**4 + c**2 - 3 + 0*c**3 - 1/5*c**5. Find d, given that g(d) = 0.
-1, 1
Solve 1/5*w**2 + 16/5*w + 4 - 1/5*w**3 = 0.
-2, 5
Let n(u) be the second derivative of -1/24*u**4 + 0*u**2 - 1/12*u**3 + 1/20*u**5 + 0 - u. Solve n(r) = 0.
-1/2, 0, 1
Let c be (-2 + 0 + 1)*0. Determine i so that 4 + 18*i**2 + 10*i - 2 + c*i + 14*i**3 + 4*i**4 = 0.
-1, -1/2
Let s = -11320/9 - -1258. Factor 0 + 0*a**2 + 2/9*a**3 + s*a**4 + 0*a.
2*a**3*(a + 1)/9
Let n(h) be the second derivative of -h**4/15 + 2*h**3/15 + 12*h**2/5 - 18*h. Let n(q) = 0. Calculate q.
-2, 3
Let z = -700 - -702. Let -7/2*f**5 - 27/2*f**3 - 13/2*f**z + 0 - f - 23/2*f**4 = 0. What is f?
-1, -2/7, 0
Let n = 40/3 - 13. Let r(y) be the first derivative of -2 + y**2 + n*y**3 + y. Factor r(f).
(f + 1)**2
Let a(g) be the third derivative of g**5/180 - 5*g**4/72 + g**3/3 - 24*g**2. Solve a(r) = 0.
2, 3
Let p(n) be the first derivative of -3/2*n**4 + 0*n**3 - 3 + 0*n**2 + 0*n - 3/5*n**5. Factor p(g).
-3*g**3*(g + 2)
Let v = -285 + 285. What is y in -1/2*y**2 + 1/2*y + v + 1/2*y**4 - 1/2*y**3 = 0?
-1, 0, 1
Let z(p) be the third derivative of p**9/8640 - 19*p**8/20160 + p**7/630 + p**6/180 + p**5/20 + 2*p**2. Let i(g) be the third derivative of z(g). Factor i(m).
(m - 2)*(m - 1)*(7*m + 2)
Let o(a) be the first derivative of 2 - 1/6*a**4 - 4/9*a**2 + a - 1/45*a**5 - 4/9*a**3. Let z(f) be the first derivative of o(f). Factor z(x).
-2*(x + 2)**2*(2*x + 1)/9
Let i(u) = 7*u - 2. Let r be i(1). Let a(f) be the second derivative of -1/4*f**2 - 5/8*f**r - 11/12*f**3 - 35/24*f**4 + 0 + 3*f. Factor a(w).
-(w + 1)*(5*w + 1)**2/2
Let w(i) be the second derivative of i**4/24 + i**3/2 + 25*i. Factor w(s).
s*(s + 6)/2
Let s(l) = l**4 - l**3 + 10*l**2 + 2*l - 18. Let h(y) = 4*y**4 - 4*y**3 + 29*y**2 + 5*y - 55. Let b(k) = -4*h(k) + 14*s(k). Suppose b(g) = 0. Calculate g.
-2, 1, 4
Let m(c) = -c**2 + 7*c + 11. Let f be m(8). Suppose 0 = -2*a + f*a - 3. Factor -1/4*t**4 + 0 + 0*t**2 + 0*t + 0*t**a.
-t**4/4
Let z be 1 + -1 - 1*-4. Let r(x) be the first derivative of 0*x**2 + 0*x + 2 - 1/6*x**3 + 1/8*x**z. Solve r(n) = 0.
0, 1
Factor -8/7 + 6/7*k**2 + 0*k + 2/7*k**3.
2*(k - 1)*(k + 2)**2/7
Suppose a - o + 3 + 0 = 0, -a = 2*o - 9. Let t(r) = 9*r**3 + 3*r**2 - 3*r + 3. Let s(j) = j**4 - j**3 + j - 1. Let x(p) = a*t(p) + 3*s(p). Factor x(v).
3*v**2*(v + 1)**2
Factor 0*k + 0 - 2/17*k**2 - 2/17*k**3.
-2*k**2*(k + 1)/17
Let g(u) be the first derivative of u**4/14 - 4*u**3/21 + u**2/7 - 15. Let g(t) = 0. What is t?
0, 1
Factor -4 + 14*l**4 + 54*l**2 + 81*l**3 + 8*l**4 - 19*l**3 + 5*l + 5*l.
2*(l + 1)**3*(11*l - 2)
Let i(f) be the third derivative of f**7/60 + 19*f**6/240 + f**5/8 + f**4/48 - f**3/6 - 2*f**2. Determine j, given that i(j) = 0.
-1, 2/7
Let j(b) be the first derivative of -3*b**5 - 5*b**4 + 25*b**3/3 + 5*b**2 + 2. Determine q, given that j(q) = 0.
-2, -1/3, 0, 1
Factor 44*i**3 + 32 + 47*i**3 + 16*i - 40*i**2 - 79*i**3.
4*(i - 2)**2*(3*i + 2)
Factor 2/17*u + 4/17 - 2/17*u**2.
-2*(u - 2)*(u + 1)/17
Let v(f) = f + 4. Let b be v(-5). Let d = b - -3. Determine t, given that t**3 + 4*t**2 - 3*t**d - t**4 + 0*t**4 - t = 0.
-1, 0, 1
Factor -2/5*q**2 + 0 - 2/5*q.
-2*q*(q + 1)/5
Let l(b) be the third derivative of -b**8/84 + 2*b**7/105 + b**6/15 - 2*b**5/15 - b**4/6 + 2*b**3/3 - 6*b**2. Solve l(t) = 0 f