ose -24*j**2 + 0*j + 20*j**2 + 4*j**4 + 0*j = 0. What is j?
-1, 0, 1
Let z = -1/90 + 7/30. Factor -z*m**2 + 2/9*m + 0.
-2*m*(m - 1)/9
Let a(m) = 187*m**2 - 160*m + 19. Let z(b) = -47*b**2 + 40*b - 5. Let g(i) = -6*a(i) - 26*z(i). Let g(r) = 0. Calculate r.
2/5
Let h(b) = -b**3 - 2*b**2 + 6*b + 6. Let y be h(-4). Let s = 17 - y. Factor 4/9*p**s - 10/9*p + 2/9*p**2 + 4/9.
2*(p - 1)*(p + 2)*(2*p - 1)/9
Suppose 6 = k + 3. Factor -14*r**2 - r**3 + 0*r**k + 12*r**2 - r.
-r*(r + 1)**2
Suppose -9 + 3 = 3*f. Let b be -2 + 0 + (-12)/f. Let a + 3*a**3 - 2*a**2 + a**b - 2*a**4 - a**2 = 0. Calculate a.
0, 1
Let b(x) be the third derivative of x**2 + 1/6*x**3 + 0*x - 1/48*x**5 - 1/12*x**4 + 0. Factor b(l).
-(l + 2)*(5*l - 2)/4
Suppose -3*f + 24 = 4*q, f + 3 = 4*q - 5. Suppose -1 + f + 0 - 3*d**2 = 0. What is d?
-1, 1
Let u(w) be the first derivative of w**4/18 - 4*w**3/27 - 8*w**2/9 + 59. Let u(d) = 0. What is d?
-2, 0, 4
Let r(q) = -q. Let h be r(-2). Factor 2*n**h + 14*n - 14*n.
2*n**2
Let w be (-17)/(-68) + 522/424. Let q = 1/53 + w. Factor -3*c + 0*c**2 - q + 3/2*c**4 + 3*c**3.
3*(c - 1)*(c + 1)**3/2
Let j(v) = 9*v**3 - 2*v**2 + 7*v - 7. Let c be (0 + 1)/((-12)/(-60)). Let q(w) = 6*w**3 - w**2 + 5*w - 5. Let l(k) = c*j(k) - 7*q(k). Solve l(d) = 0 for d.
0, 1
Factor 0 + 0*p + 3/2*p**3 - 30*p**2.
3*p**2*(p - 20)/2
Factor 0 + 0*w + 4/7*w**2 - 2/7*w**3.
-2*w**2*(w - 2)/7
Let r(p) = -p**2 + 9*p - 3. Let x be r(7). Let d be 2/((-3)/(-12)*x). Factor 10/11*n**3 - 16/11*n - 2/11*n**4 + 2/11*n**2 + d - 2/11*n**5.
-2*(n - 1)**3*(n + 2)**2/11
Let z(c) be the third derivative of -c**9/9072 + c**8/2520 - c**6/540 + c**5/360 - c**3/2 - 3*c**2. Let j(v) be the first derivative of z(v). Factor j(o).
-o*(o - 1)**3*(o + 1)/3
Let a be (-3)/(-14) + (-46)/(-161). Factor 1/2*q**3 + 7/4*q + a + 7/4*q**2.
(q + 1)*(q + 2)*(2*q + 1)/4
Suppose 15 = 5*f - 5*y, 3*y + 0 = 2*f - 5. Let c(u) be the first derivative of 2*u - u**2 - 2 - 2/3*u**3 + 1/2*u**f. Solve c(s) = 0.
-1, 1
Determine z, given that 0 + 1/5*z + 1/5*z**3 - 2/5*z**2 = 0.
0, 1
Let s(o) be the third derivative of -o**9/75600 - o**8/4200 - o**7/700 + 9*o**5/200 - o**4/4 + o**2. Let r(p) be the second derivative of s(p). Factor r(n).
-(n - 1)*(n + 3)**3/5
Let s(x) be the second derivative of x**7/21 + x**6/15 - x**5/10 - x**4/6 - 21*x. Factor s(n).
2*n**2*(n - 1)*(n + 1)**2
Let i(z) = -6*z**2 + 3*z. Let t(q) = -5*q**2 + 3*q. Let x(g) = 3*i(g) - 4*t(g). Let f be x(2). Factor -10*n - 4 + 10*n**2 - 3*n**f + 7*n**2.
2*(n - 1)*(7*n + 2)
Let f(w) = 5*w**5 + 8*w**4 + w**3 + 2*w**2 - 2*w. Let o(d) = d**5 + d**4 - d**3 + d**2 - d. Let m(h) = -f(h) + 2*o(h). Factor m(k).
-3*k**3*(k + 1)**2
Let j be (-3 + (-36)/(-24))*4/(-2). Factor 1/3*w + 0 + 1/3*w**4 - 1/3*w**j - 1/3*w**2.
w*(w - 1)**2*(w + 1)/3
Let c = 2 - -4. Factor -3 + c - 3*w**4 + 2*w**3 - 6*w + 4*w**3.
-3*(w - 1)**3*(w + 1)
Let 0*a + 1/6*a**3 + 0 - 1/6*a**2 = 0. Calculate a.
0, 1
Let o(k) be the first derivative of 3/16*k**4 + 1/4*k**3 + 0*k**2 + 4 + 0*k. Determine j so that o(j) = 0.
-1, 0
Let r(j) be the second derivative of j**4/9 - 2*j + 50. Factor r(c).
4*c**2/3
Solve -3/2*h**3 - 6 + 6*h**2 + 3/2*h = 0.
-1, 1, 4
Let f(b) be the third derivative of -b**7/84 - 19*b**6/48 - 10*b**5/3 + 125*b**4/12 - 7*b**2. Factor f(a).
-5*a*(a - 1)*(a + 10)**2/2
Let z(g) be the third derivative of 25*g**6/24 + 5*g**5/2 - 15*g**4/2 + 20*g**3/3 + g**2. Factor z(k).
5*(k + 2)*(5*k - 2)**2
Suppose -4*g = -t - 15, 0*t + 3*t = g - 12. Factor 2*q**4 - 2*q - g*q**2 + q**5 + 0*q**2 + q**4 + q**3.
q*(q - 1)*(q + 1)**2*(q + 2)
Let z(q) be the second derivative of -2/21*q**7 + q - 1/6*q**4 - 2/3*q**3 + 1/2*q**2 + 1/30*q**6 + 2/5*q**5 + 0. Determine v so that z(v) = 0.
-1, 1/4, 1
Let i be ((-1*2)/6)/(130/(-156)). Suppose 2/5*p**3 - 2/5*p**2 + i*p**4 + 0 - 2/5*p = 0. What is p?
-1, 0, 1
Let y(r) be the first derivative of r**5/330 + r**4/66 + r**3/33 + 3*r**2/2 + 2. Let g(t) be the second derivative of y(t). Factor g(z).
2*(z + 1)**2/11
Let r(o) be the first derivative of 1/24*o**3 + 1/16*o**2 - 7 - 1/4*o. Solve r(m) = 0 for m.
-2, 1
Find v such that 4*v**2 + 2*v + 19 + 6*v - 19 = 0.
-2, 0
Let b(h) be the second derivative of -h**7/630 - h**6/60 - h**5/15 + 5*h**4/12 - 9*h. Let r(s) be the third derivative of b(s). Solve r(v) = 0.
-2, -1
Let f(l) be the second derivative of -l**8/168 + l**7/105 + l**6/60 - l**5/30 - 2*l**2 - 3*l. Let w(q) be the first derivative of f(q). Factor w(s).
-2*s**2*(s - 1)**2*(s + 1)
Factor 4 - 5/2*h**3 + 27/2*h**2 - 15*h.
-(h - 4)*(h - 1)*(5*h - 2)/2
Let x(n) = n**5 + n**3. Let h(p) = -66*p**5 + 165*p**4 - 48*p**3 - 69*p**2 + 24*p + 12. Let o(m) = h(m) - 9*x(m). Suppose o(q) = 0. Calculate q.
-2/5, 1
Let v = -1 + 8. Suppose v = c - 0*c. Factor -c*a**3 - a**2 + 0*a**3 - a**2.
-a**2*(7*a + 2)
Let w(p) be the third derivative of 1/1260*p**6 + 1/3*p**3 + 0*p**4 + 0 - p**2 + 0*p + 1/210*p**5. Let g(l) be the first derivative of w(l). Factor g(c).
2*c*(c + 2)/7
Suppose 0 = -13*t + 12*t + 5. Solve 0 - 2*s**t + 4/7*s**2 + 32/7*s**4 - 22/7*s**3 + 0*s = 0.
0, 2/7, 1
Let o = 9 + -6. Solve -11*a + 11*a + 2*a**4 - 4*a**o = 0.
0, 2
Suppose 4*s = 4*h, 3*s + 5*h = 6*s + 4. Suppose -5*j + 3 = -4*j. Factor 2/9*l**j + 0 + 0*l + 2/3*l**4 + 4/9*l**5 + 0*l**s.
2*l**3*(l + 1)*(2*l + 1)/9
Suppose 7 = 5*i - 13. Solve 2*g**3 + g**3 - i*g**3 + g - g**2 + g**4 + 0*g = 0.
-1, 0, 1
Let o(y) be the third derivative of -y**2 + 0*y + 1/150*y**5 + 1/15*y**4 + 0 + 4/15*y**3. Factor o(t).
2*(t + 2)**2/5
Let b = 56/3 - 18. Let z(r) be the first derivative of 2 - 1/2*r**4 - b*r**3 + 2/5*r**5 + 0*r + r**2. Factor z(t).
2*t*(t - 1)**2*(t + 1)
Let y be (-1)/2*(1 - 1). Let h(c) be the second derivative of 0 + y*c**2 + 3*c + 1/12*c**4 - 1/6*c**3. Suppose h(z) = 0. What is z?
0, 1
Let z(v) = 135*v**4 + 350*v**3 - 135*v**2 - 460*v + 55. Let i(p) = -5*p**4 - 13*p**3 + 5*p**2 + 17*p - 2. Let a(h) = -55*i(h) - 2*z(h). Let a(f) = 0. What is f?
-3, -1, 0, 1
Let c = 608 + -4248/7. Let r = 692 - 4836/7. Find i, given that -r*i + c + 4/7*i**3 + 2/7*i**4 - 6/7*i**2 = 0.
-2, 1
Let k = 15 + -23. Let r be k/6*(-18)/12. Solve 8 - r*g**2 + 51*g**2 - 72*g + 113*g**2 = 0 for g.
2/9
Let q = 23/14 + -15/14. Factor -2/7*b**2 - q*b + 0.
-2*b*(b + 2)/7
Suppose -18 = -196*n + 187*n. Determine s, given that -2/3*s**5 - 2*s**3 + 0 - 2*s**4 + 0*s - 2/3*s**n = 0.
-1, 0
Suppose 0 = -3*c - n - 0 - 4, 0 = 5*c + 3*n + 8. Let t be (12/30)/(c/(-10)). Factor -7*v**2 - 10*v**3 - 2*v - 4*v**2 + 3*v**2 - 4*v**t.
-2*v*(v + 1)**2*(2*v + 1)
Let z(y) be the third derivative of -y**6/70 - y**5/20 - y**4/28 + y**3/14 + 20*y**2. Factor z(a).
-3*(a + 1)**2*(4*a - 1)/7
Let x be 4 - ((-64)/(-6) - 6) - -3. Factor t**3 + 1/3 + x*t**2 + 5/3*t.
(t + 1)**2*(3*t + 1)/3
Let a(x) be the first derivative of x**7/4200 - x**6/360 + x**5/200 + 3*x**4/40 + 2*x**3 - 6. Let o(q) be the third derivative of a(q). Factor o(r).
(r - 3)**2*(r + 1)/5
Find d, given that 2/5*d**2 - 8/5*d + 8/5*d**3 - 2/5*d**4 + 0 = 0.
-1, 0, 1, 4
Let m(p) be the first derivative of 3 + 1/9*p**3 + 1/3*p - 1/3*p**2. Find n, given that m(n) = 0.
1
Let s = -15/14 + 89/70. Suppose -232*a + 234*a = 0. Factor a - 1/5*b**2 - s*b.
-b*(b + 1)/5
Determine p, given that 0*p + 1/6*p**2 - 1/6 = 0.
-1, 1
Let d(z) be the first derivative of z**3/9 + z**2 + 3*z + 2. Factor d(i).
(i + 3)**2/3
Let b(g) = 2*g**2 + 10*g + 8. Let o = -4 - -6. Let d(c) = c - 2*c - o*c + 2*c - 1. Let j(l) = -b(l) - 8*d(l). Factor j(v).
-2*v*(v + 1)
Suppose -5*a + 0*a = 5*p + 5, -p - 1 = 0. Factor a + 1/2*l - 1/2*l**2.
-l*(l - 1)/2
Let g(l) = l**2 - l. Let j be g(1). Let p be (-4)/4*j/(-1). Factor u**3 + p*u + u**5 + 2*u**4 + 0*u.
u**3*(u + 1)**2
Factor 2/17*p**2 - 4/17*p + 2/17.
2*(p - 1)**2/17
Factor 16/11*z + 0 + 2/11*z**2.
2*z*(z + 8)/11
Let p(a) be the third derivative of 1/20*a**5 + 1/40*a**6 + 0 + 0*a**3 + 0*a + 2*a**2 + 0*a**4. What is u in p(u) = 0?
-1, 0
Suppose -3*b + 8*b = 60. Let t be (3/(63/b))/2. Suppose -2/7 - 4/7*u - t*u**2 = 0. What is u?
-1
Let o(m) be the first derivative of m**3/12 + 3*m**2/8 + m/2 + 5. Factor o(q).
(q + 1)*(q + 2)/4
Let o = 979/2435 - 1/487. Find n, given that -4/5*n + 0 + o*n**2 = 0.
0, 2
Let s(k) be the second derivative of 0*k**2 - 1/30*k**5 + 1/45*k**6 + 0 - 2*k + 0*k**4 + 0*k**3. Suppose s(d) = 0.