37*g**2 + 69*g**2 - 18*g - 35*g**2 = 0.
-6, 0
Factor 0*s**3 + 5*s**3 + 3*s**2 + s**3 - 4 - 5*s**3.
(s - 1)*(s + 2)**2
Let z(d) be the second derivative of -3*d - 1/231*d**7 + 0 + 1/66*d**4 - 1/165*d**6 + 0*d**3 + 0*d**2 + 1/110*d**5. Factor z(o).
-2*o**2*(o - 1)*(o + 1)**2/11
Let z(r) be the third derivative of -r**9/151200 + r**7/12600 - r**5/60 + r**2. Let w(p) be the third derivative of z(p). What is b in w(b) = 0?
-1, 0, 1
Solve -2 + 46*p - 46*p + 2*p**2 = 0.
-1, 1
Let z(p) be the second derivative of -6*p**5/5 - p**4 - p**3/4 + 34*p. Determine u so that z(u) = 0.
-1/4, 0
Let i(s) = 17*s - 6. Let a be i(6). Factor 2*h**3 + a - 96 - 2*h**4.
-2*h**3*(h - 1)
Let j(v) be the first derivative of -v**6/165 + v**5/110 - 3*v + 4. Let w(l) be the first derivative of j(l). Factor w(r).
-2*r**3*(r - 1)/11
Let p be 3/(14/12 + 1/3). Let 0*y + 2*y**5 - 1/2 + 10*y**3 + 15/2*y**4 + 5*y**p = 0. Calculate y.
-1, 1/4
Let d = 6504/5 + -1300. Determine s so that 0 + 0*s + 2/5*s**4 - 6/5*s**3 + d*s**2 = 0.
0, 1, 2
Let q be 5*(-9)/((-675)/12). Let j(y) be the first derivative of 1 + y**3 - 7/4*y**2 - q*y**5 + 1/2*y**4 + y + 1/4*y**6. Determine x so that j(x) = 0.
-1, 2/3, 1
Let m(s) be the third derivative of 0*s**3 + s**2 + 1/35*s**7 + 0*s**5 + 0*s + 0*s**4 + 0 - 1/112*s**8 - 1/40*s**6. Let m(f) = 0. What is f?
0, 1
Let a(j) = 2*j - 6. Let y be a(6). Let v = 9 - y. Suppose -2*q**3 + q**3 + 4 + 1 - 4 - v*q + 3*q**2 = 0. Calculate q.
1
Solve 3/4*p**2 + 0*p + 3/2*p**3 + 3/4*p**4 + 0 = 0.
-1, 0
Suppose 67*f**3 - f**5 + 4*f**4 + 12*f**2 - 3*f**5 - 47*f**3 = 0. Calculate f.
-1, 0, 3
Let i(y) = -y**3 + 6*y**2 + y + 1. Let r be i(6). Suppose 1 = 4*j + 3*p - r, -5*p = 0. Factor 2*o**3 + 0*o**3 + o**4 - 6*o + o**4 - 2*o**j + 4*o.
2*o*(o - 1)*(o + 1)**2
Let n(k) = -5*k**4 - 20*k**3 - 21*k**2 - 14*k - 4. Let a(s) = 5*s**4 + 20*s**3 + 20*s**2 + 15*s + 5. Let u(p) = 4*a(p) + 5*n(p). Suppose u(c) = 0. Calculate c.
-2, -1, 0
Let v(n) be the first derivative of -n**5/15 - n**4/4 - n**3/3 - n**2/6 - 10. Factor v(y).
-y*(y + 1)**3/3
Solve -1/2*g**3 - g**2 - 1/2*g + 0 = 0.
-1, 0
Let p(g) = 3*g**2 + 3*g + 12. Let w(h) = -7*h**2 - 7*h - 25. Let y be 4 - 3/((-3)/2). Let v(m) = y*w(m) + 13*p(m). Let v(o) = 0. What is o?
-2, 1
Let l = 12/43 + -1534/5805. Let y(f) be the third derivative of 0*f - 3*f**2 + 1/27*f**3 - 5/108*f**4 + l*f**5 + 0. Factor y(w).
2*(w - 1)*(4*w - 1)/9
Let u(f) be the second derivative of -f**4/8 + f**3 - 3*f**2 + 28*f. Factor u(k).
-3*(k - 2)**2/2
Let p(s) = -12*s**2 + 10*s + 12. Let o(q) be the first derivative of -1/3*q**3 + 2 + 1/2*q**2 + q. Let a(x) = -10*o(x) + p(x). Factor a(b).
-2*(b - 1)*(b + 1)
Let i(m) be the second derivative of 5*m + 0 - 3/20*m**5 + m**3 + 0*m**2 + 1/4*m**4. Factor i(d).
-3*d*(d - 2)*(d + 1)
Let a = 6 + -4. Let c be (2 - 0) + -4 - -5. Factor -c*g**2 + 0*g**2 - 6*g + a*g - 1.
-(g + 1)*(3*g + 1)
Let a(b) = -b**2 + 9*b + 3. Suppose 2*v = -2 + 20. Let x be a(v). What is k in 0 - 8/3*k**4 + 2/3*k + 6*k**x - 4*k**2 = 0?
0, 1/4, 1
Let t = -1399/3 - -467. Factor -2/3*v**4 + 4/3*v**2 - 4/3*v**3 + 2/3*v - 2/3 + t*v**5.
2*(v - 1)**3*(v + 1)**2/3
Let j(n) be the first derivative of -n**3/6 - 1. Factor j(w).
-w**2/2
Let y(o) be the first derivative of -o**6/840 + o**5/280 + o**4/28 - o**3 - 6. Let p(h) be the third derivative of y(h). Factor p(u).
-3*(u - 2)*(u + 1)/7
Let u(c) be the second derivative of 2*c**5/55 - c**4/66 - 4*c**3/33 + c**2/11 + 4*c + 2. Factor u(g).
2*(g - 1)*(g + 1)*(4*g - 1)/11
Suppose -9*z - 18 = -45. Let d(u) be the first derivative of -7/8*u**4 - 2*u**z + u - 3 - 3/4*u**2. Let d(k) = 0. Calculate k.
-1, 2/7
Let r(w) be the first derivative of -2/25*w**5 + 0*w**4 - 1/30*w**6 + 0*w + 1/10*w**2 + 2/15*w**3 - 1. Find l, given that r(l) = 0.
-1, 0, 1
What is d in 6/11*d - 4/11*d**3 - 2/11*d**5 + 4/11*d**2 + 2/11 - 6/11*d**4 = 0?
-1, 1
Determine u, given that 20*u**4 + 11*u + 10*u**2 + 0*u**5 - 25*u**3 - 5*u**5 - 11*u = 0.
0, 1, 2
Let v = -184 - -737/4. Determine m so that -3/4*m**2 + 0 - 1/2*m + v*m**4 + 0*m**3 = 0.
-1, 0, 2
Let c = -11 - -3. Let i = c - -8. Factor 0 - 7*n**2 + i + 6*n**2 + n.
-n*(n - 1)
Let n(l) = -l**2 + 9*l - 7. Let r be n(7). Factor r*t - 9*t**2 - 4 + 0 + 3*t**2 + 3*t.
-2*(t - 1)*(3*t - 2)
Let b(n) be the first derivative of -n**5/240 + n**4/48 - n**3/24 - n**2 + 2. Let w(t) be the second derivative of b(t). Solve w(i) = 0 for i.
1
Let x(z) be the second derivative of -z**7/420 + z**6/180 + z**5/30 - z**3/6 + z. Let s(r) be the second derivative of x(r). Find t, given that s(t) = 0.
-1, 0, 2
Let b be (-7)/(-84)*18 - 1. Determine o, given that 0*o**2 + b*o**3 - 13/4*o**4 + 5*o**5 + 0*o + 0 = 0.
0, 1/4, 2/5
Find c such that -2*c + 3/2 + 1/2*c**2 = 0.
1, 3
Let w = 229/4 + -57. Factor -1/4*v - w*v**3 + 0 + 1/2*v**2.
-v*(v - 1)**2/4
Let y(n) be the first derivative of -n**4/6 + 2*n**3/3 - n**2 - n + 5. Let g(q) be the first derivative of y(q). Factor g(d).
-2*(d - 1)**2
Let y = 0 + 5. Suppose -3*d**2 + 3*d**y + 9*d**3 + 6 - 9*d**4 - 6 = 0. Calculate d.
0, 1
Let h(s) be the second derivative of 1/10*s**5 + 2/9*s**4 + 0 - 2/45*s**6 - 1/63*s**7 - 4/9*s**3 + 0*s**2 + 2*s. Let h(a) = 0. What is a?
-2, 0, 1
Let m(h) be the second derivative of h**7/210 - h**5/60 - h**2 - h. Let x(o) be the first derivative of m(o). Solve x(u) = 0 for u.
-1, 0, 1
Factor 0*o + 0 - 2/11*o**2 - 2/11*o**4 + 4/11*o**3.
-2*o**2*(o - 1)**2/11
Let s be (6 - 16)*2*(-3)/105. Solve 6/7*j**3 - s*j + 0 + 2/7*j**2 = 0.
-1, 0, 2/3
Let a(d) be the second derivative of -d**10/120960 - d**9/30240 - d**8/26880 + 5*d**4/12 - 2*d. Let g(q) be the third derivative of a(q). Factor g(m).
-m**3*(m + 1)**2/4
Let v = -787 + 790. Let 4/5*b**4 + 0 + 2/5*b - 2/5*b**v - 4/5*b**2 = 0. Calculate b.
-1, 0, 1/2, 1
Suppose 5*o**2 + 4*o + 5*o**3 + 2*o**2 - 2*o**2 - 14*o = 0. What is o?
-2, 0, 1
Suppose -5*r + 6 = -y, -16 = -3*y - 4. Factor -24/5*o + r*o**2 + 8/5.
2*(o - 2)*(5*o - 2)/5
Factor 2/7 + 2/7*n**3 - 2/7*n**2 - 2/7*n.
2*(n - 1)**2*(n + 1)/7
Let i(h) be the third derivative of 0*h + 0*h**5 - 1/240*h**6 + 4*h**2 + 0*h**3 + 1/420*h**7 + 0*h**4 + 0. Factor i(v).
v**3*(v - 1)/2
Let r(z) be the first derivative of -9/4*z**4 + 0*z - 2 + 3/2*z**6 - 2/5*z**5 + 2/3*z**3 + 0*z**2. Factor r(p).
p**2*(p - 1)*(p + 1)*(9*p - 2)
Let m(f) be the second derivative of -f**9/3024 - f**8/420 - f**7/140 - f**6/90 - f**5/120 - f**3/3 + f. Let q(i) be the second derivative of m(i). Factor q(a).
-a*(a + 1)**4
Let f = 207/35 + -40/7. Factor 2/5*y**2 + 1/5*y**3 + f*y + 0.
y*(y + 1)**2/5
Let l(q) be the second derivative of -3*q**5/20 + q**3/2 - 7*q. Factor l(m).
-3*m*(m - 1)*(m + 1)
Suppose 9*p = 6*p + 12. Suppose -p*u = u. Factor 6 - 9*h**2 - 9 - 3*h**3 - 9*h + u.
-3*(h + 1)**3
Let h = -18 + 16. Let m(u) = 3*u**3 + 3*u. Let d(o) = o**5 - 3*o**3 - 2*o. Let i(y) = h*m(y) - 3*d(y). Find s such that i(s) = 0.
-1, 0, 1
Let x(g) be the third derivative of g**10/604800 - g**9/120960 + g**5/20 - 2*g**2. Let s(a) be the third derivative of x(a). Factor s(h).
h**3*(h - 2)/4
Let g(z) be the first derivative of -5 + 2 + 2 + z**3 + 3*z + 3*z**2 + 4. Solve g(b) = 0.
-1
Let l(k) be the first derivative of -2/3*k**3 + 7/4*k**4 + 3 + 0*k**2 + 0*k. Suppose l(y) = 0. What is y?
0, 2/7
Let b = 53/93 - -3/31. Factor 2/3*c**4 - b*c**5 - 2/3*c**2 + 0 + 0*c + 2/3*c**3.
-2*c**2*(c - 1)**2*(c + 1)/3
Let v(x) be the first derivative of -45*x**4/2 - 8*x**3 - 4*x**2/5 - 31. Factor v(m).
-2*m*(15*m + 2)**2/5
Let m(i) be the third derivative of 0*i**6 + 0*i**3 + 0 + 0*i - 1/105*i**7 + 0*i**4 + 1/30*i**5 + 2*i**2. Let m(g) = 0. What is g?
-1, 0, 1
Suppose 11*l = 8*l + 9. Let z(o) be the first derivative of 14/15*o**3 - 4/5*o**4 + l + 6/25*o**5 + 0*o - 2/5*o**2. Factor z(m).
2*m*(m - 1)**2*(3*m - 2)/5
Let u = 614 - 611. Factor 96/5 + 48*y**2 + 48*y + 3/5*y**5 + 6*y**4 + 24*y**u.
3*(y + 2)**5/5
Let l(r) be the first derivative of r**5/150 - r**4/30 + r**3/15 + 2*r**2 + 4. Let o(u) be the second derivative of l(u). Factor o(v).
2*(v - 1)**2/5
Let u(v) = -3*v**2 + 0*v**2 + 2*v**2 - v. Let y(h) = -h**2 - 8*h + 4. Let f(g) = g - 1. Let c(i) = 4*f(i) + y(i). Let a(p) = c(p) - 5*u(p). Factor a(l).
l*(4*l + 1)
Suppose x + x - 4 = 0. Suppose 2*y - 3*y**2 - x*y - y + 7*y = 0. What is y?
0, 2
Let w = -6 + 11. Let t = w - 2. Fa