nd derivative of l(d). Factor k(y).
3*(y - 2)*(y - 1)*(y + 1)
Find g such that 0*g - 2*g**2 + 0 - 1/2*g**4 - 2*g**3 = 0.
-2, 0
Let r(m) = -m**3 + m**2 - m. Suppose 0 = -5*o - 3 - 2. Let g(i) = -2*i**4 - 3*i**3 + 3*i**2 - 3*i. Let q(a) = o*g(a) + 3*r(a). Factor q(p).
2*p**4
Let a = 36/11 - 208/77. Factor -2/7*c**2 - a*c - 2/7.
-2*(c + 1)**2/7
Let z(i) = i**2 + 1. Let t be (8 - 10)/((-2)/2). Let a(o) = -o**2 + o - 1. Let u = 1 + 0. Let k(g) = t*a(g) + u*z(g). Factor k(p).
-(p - 1)**2
Let g = -31 + 33. Let c(d) be the third derivative of -1/8*d**4 - 1/12*d**3 - 1/15*d**5 + 0*d + 0 - 3*d**g. Suppose c(x) = 0. Calculate x.
-1/2, -1/4
Let z(l) be the first derivative of -l**5/30 - l**4/6 + l**3 + 11*l**2/2 + 4. Let m(o) be the second derivative of z(o). Factor m(j).
-2*(j - 1)*(j + 3)
Let b(p) be the second derivative of 0 - 1/30*p**5 - 1/6*p**4 + 7*p + 0*p**2 - 2/9*p**3. Factor b(h).
-2*h*(h + 1)*(h + 2)/3
Let m(u) = 3*u**3 - 3*u**2 + 3*u - 6. Let s(b) = -4*b**3 + 3*b**2 - 3*b + 7. Let q(w) = 3*m(w) + 2*s(w). Let f(z) be the first derivative of q(z). Factor f(g).
3*(g - 1)**2
Suppose 7*m = 4*m - 6, -3*b - m = -10. Factor -13 - 2*n - n**5 - n**5 + 2*n**4 - 4*n**2 + 15 + b*n**3.
-2*(n - 1)**3*(n + 1)**2
Factor -20/7 + 36/7*u - 12/7*u**2 - 4/7*u**3.
-4*(u - 1)**2*(u + 5)/7
Let a = -7 + 13. Suppose -2*x - a = -5*x. Solve 1/3*h**x + 1/3 - 2/3*h = 0 for h.
1
Suppose n + c = 8, 2*n + 5 = 3*c + 1. Factor 1/4*u - 1/4*u**2 + 0 - 1/4*u**3 + 1/4*u**n.
u*(u - 1)**2*(u + 1)/4
Let m(j) = 3*j**3 - 5. Let t(o) = 2*o**3 - 4. Let g = -2 + 4. Suppose g*s - 16 = -2*s. Let b(q) = s*m(q) - 5*t(q). Let b(p) = 0. Calculate p.
0
Let b(u) be the first derivative of u**5/10 - u**4/8 - 3. Suppose b(l) = 0. Calculate l.
0, 1
Let l(c) be the third derivative of -c**8/168 + c**7/70 + 7*c**6/120 - c**5/5 + c**4/6 + 9*c**2. Solve l(w) = 0.
-2, 0, 1/2, 1, 2
Let l = 158608/1805 - 98/361. Let b = 88 - l. Factor -8/5 - 2/5*m**2 + 2*m**3 + b*m**4 - 16/5*m - 2/5*m**5.
-2*(m - 2)**2*(m + 1)**3/5
Let a be (-1569)/126 - 2/(-7). Let j = a + 473/30. What is y in 14/5*y**3 + 4/5*y + j*y**2 + 0 = 0?
-1, -2/7, 0
What is p in -1/4*p**4 + 0*p - 1/8*p**3 + 0 + 0*p**2 - 1/8*p**5 = 0?
-1, 0
Suppose -5*j + 5*g - 175 = 0, -j - 6*g - 47 = -11*g. Let w = j + 162/5. Factor -w*a**5 + 0 + 2/5*a**2 + 2/5*a**3 - 2/5*a**4 + 0*a.
-2*a**2*(a - 1)*(a + 1)**2/5
Let j(n) = -n**2 + 13*n - 7. Let m be j(12). What is x in -12*x + 3/2*x**4 - 3/2*x**m - 3/2*x**2 - 6 + 15/2*x**3 = 0?
-1, 2
Let x(p) be the second derivative of p**5/50 - p**4/6 + 8*p**3/15 - 4*p**2/5 - p. Let x(a) = 0. What is a?
1, 2
Let k = -12 + 15. What is y in -2 - 3*y**2 - 3*y - k*y**2 + 4*y**2 + y**2 = 0?
-2, -1
Factor -3*r - 6*r**4 - 21*r**2 + 19*r**2 + 3*r - 6*r**3 - 2*r**5.
-2*r**2*(r + 1)**3
Let n(k) = k**3 - 8*k**2 + 7*k + 5. Let a be n(7). Let u be (a - 4)/(1/3). Solve 3*i**2 + 6*i**3 - 3*i - 3*i**4 - u*i**3 + 0*i = 0.
-1, 0, 1
Let r be 29/(-174) + 1/(-2)*-1. Factor 1/3*q**4 + r*q - 1/3*q**2 - 1/3*q**3 + 0.
q*(q - 1)**2*(q + 1)/3
Let l(q) be the third derivative of 1/40*q**4 + 0*q**3 + 3*q**2 + 0*q + 3/200*q**6 + 0 - 3/100*q**5 - 1/350*q**7. Factor l(v).
-3*v*(v - 1)**3/5
Let d(j) = 5*j**4 + 31*j**3 + 36*j**2 + 10*j + 11. Suppose 3*r + 4 = 5*r. Let q(g) = g**4 + 6*g**3 + 7*g**2 + 2*g + 2. Let i(w) = r*d(w) - 11*q(w). Factor i(a).
-a*(a + 1)**2*(a + 2)
Let o(t) = 7*t**2 - 3*t - 4. Let g(w) be the second derivative of -w**4/2 + w**3/3 + 3*w**2/2 + 3*w. Let k(j) = -6*g(j) - 5*o(j). Factor k(c).
(c + 1)*(c + 2)
Let i = -3 + 6. Let r be (0 - 3) + i + 0. Suppose -2/3*s + r - 2/3*s**5 + 0*s**4 + 0*s**2 + 4/3*s**3 = 0. What is s?
-1, 0, 1
Let g(v) be the second derivative of -v**6/6 + v**5/4 + 4*v. Suppose g(z) = 0. What is z?
0, 1
Let u(y) be the first derivative of y + 0*y**2 + 3 - 1/20*y**5 - 1/6*y**3 - 1/6*y**4. Let i(w) be the first derivative of u(w). Factor i(d).
-d*(d + 1)**2
Let i(j) = -j**3 - 6*j**2 + 3*j + 7. Let b be i(-5). Let c be 14/42 - 7/b. Suppose -4/11*k**2 + 6/11*k - 2/11 - 4/11*k**3 - 2/11*k**5 + c*k**4 = 0. Calculate k.
-1, 1
Let o(v) be the first derivative of 3/5*v**2 + 23/15*v**3 - 14/25*v**5 + 3/20*v**4 - 10 + 0*v. Determine w, given that o(w) = 0.
-1, -2/7, 0, 3/2
Let q be -1 + 0 - (-21)/12. Find r, given that 3/4*r + 3/4 - q*r**3 - 3/4*r**2 = 0.
-1, 1
Solve 2*l**4 - 2*l**2 - l**3 + 3/2*l + 0 - 1/2*l**5 = 0 for l.
-1, 0, 1, 3
Let w(a) = -2*a**2 - 5*a + 13. Let k(d) = -25*d**2 - 65*d + 170. Let b(p) = 3*k(p) - 40*w(p). Factor b(m).
5*(m - 1)*(m + 2)
Let n(h) = -h + 2. Suppose 2*r - r = 0. Let m be n(r). Suppose -1/2*o - o**m + 1 + 1/2*o**3 = 0. Calculate o.
-1, 1, 2
Let a(v) be the second derivative of v**7/273 + v**6/195 - v**5/130 - v**4/78 + 5*v. Solve a(j) = 0.
-1, 0, 1
Let h(j) be the third derivative of j**5/12 - 10*j**3/3 + 21*j**2. Factor h(g).
5*(g - 2)*(g + 2)
What is u in 0 - 1/2*u**2 - 3/2*u**3 + 1/2*u**4 + 3/2*u = 0?
-1, 0, 1, 3
Let g be (18/(-14))/(4/7). Let k = 11/4 + g. Factor -2*d - 2*d**3 + 1/2*d**4 + 3*d**2 + k.
(d - 1)**4/2
Let s(g) be the third derivative of 0 + 2*g**2 - 1/6*g**3 + 1/160*g**5 + 0*g + 1/48*g**4 + 1/1440*g**6. Let b(a) be the first derivative of s(a). Factor b(f).
(f + 1)*(f + 2)/4
Let w(d) be the third derivative of -2*d**3 + 1/2*d**4 + 0*d + 0 - 1/20*d**5 - 5*d**2. Factor w(b).
-3*(b - 2)**2
Let h(s) be the second derivative of -1/50*s**5 + 1/15*s**3 + 0 - 2/5*s**2 + 1/15*s**4 - 4*s. Factor h(m).
-2*(m - 2)*(m - 1)*(m + 1)/5
Let a = 128 + 268. Let n be (-1)/6 - (-138)/a. Let n*l**2 + 2/11*l**3 - 2/11 - 2/11*l = 0. Calculate l.
-1, 1
Suppose 6 = 3*f + 30. Let o = -6 - f. Let 3 - 2*p**o - 1 - 3*p + 2*p**3 + p = 0. What is p?
-1, 1
Let p(t) = -t**2 - t + 8. Let u be p(0). Let y be (1/2)/(2/u). Solve -2*c + c**2 + c + 0*c**y = 0 for c.
0, 1
Let c(i) be the second derivative of i**4/4 + i**3 - 3*i. Factor c(j).
3*j*(j + 2)
Let w(k) = -k**3 + 5*k**2. Let o be w(5). Suppose 4/5*q**4 + 0*q + o - 2/5*q**3 + 6/5*q**5 + 0*q**2 = 0. Calculate q.
-1, 0, 1/3
Let g(y) be the second derivative of 0*y**3 + 0*y**2 + 0*y**4 + 0 + 1/20*y**5 + 1/42*y**7 + 2*y - 1/15*y**6. Factor g(u).
u**3*(u - 1)**2
Let h(w) be the first derivative of 4/15*w**3 - 7 - 1/2*w**4 - 4/5*w + w**2. Factor h(v).
-2*(v - 1)*(v + 1)*(5*v - 2)/5
Let h(v) be the first derivative of -v**3/9 - 8. Factor h(t).
-t**2/3
Let i(a) be the first derivative of a**7/63 - 2*a**6/45 + a**4/9 - a**3/9 - 4*a + 3. Let u(r) be the first derivative of i(r). Factor u(y).
2*y*(y - 1)**3*(y + 1)/3
Let t be (-18)/225*(-4 - -1)*5. Factor 0 + t*j + 32/5*j**3 - 32/5*j**2.
2*j*(4*j - 3)*(4*j - 1)/5
Let t be 2 + (-4)/(-2) - (-869)/(-237). Find a such that -1/6*a - 1/6*a**3 + t*a**2 + 0 = 0.
0, 1
Suppose -3*t + 2*k + 3*k = -21, 4*t + 5*k - 28 = 0. Suppose -2*x = -t*x. Factor -2/7*m + x*m**4 + 4/7*m**3 - 2/7*m**5 + 0*m**2 + 0.
-2*m*(m - 1)**2*(m + 1)**2/7
Let v(q) be the first derivative of q**3 - 2. Determine h, given that v(h) = 0.
0
Let z(d) be the second derivative of -d**8/672 + d**7/840 + 2*d**3/3 + 4*d. Let m(p) be the second derivative of z(p). Suppose m(b) = 0. What is b?
0, 2/5
Factor 2/3 + 2/3*s**3 - 2/3*s - 2/3*s**2.
2*(s - 1)**2*(s + 1)/3
Let j(f) be the third derivative of f**7/1260 + f**6/240 + f**5/180 - 6*f**2. What is l in j(l) = 0?
-2, -1, 0
Let i be (-4)/(-6)*(-4)/(-8). Factor -1/3*p**3 - p - i - p**2.
-(p + 1)**3/3
Let p(u) be the first derivative of u**6/12 - u**5/10 - 3*u**4/8 + u**3/6 + u**2/2 - 9. Suppose p(v) = 0. What is v?
-1, 0, 1, 2
Suppose z + 1 = 3. Suppose 6 = -2*s + 5*s. Factor -2*p - p**s + 3*p**2 - 5*p**2 + 4*p**z.
p*(p - 2)
Determine k so that 2/3*k - 2*k**2 - 2/3*k**4 + 0 + 2*k**3 = 0.
0, 1
Let f(z) = -5*z**2 - 3. Let x(s) = -6*s**2 - s - 2. Let c(k) = -7*f(k) + 6*x(k). Let y be c(-7). Factor -2/5*m**y + 2/5*m + 0.
-2*m*(m - 1)/5
Let s(d) be the second derivative of 1/6*d**4 + 0 + 1/10*d**5 - 1/3*d**3 + 2*d - 1/15*d**6 + 0*d**2. Factor s(p).
-2*p*(p - 1)**2*(p + 1)
Let r(j) be the second derivative of j**4/2 + j**2/2 - 2*j. Let v(c) = c**2. Let w(d) = 2*r(d) - 14*v(d). Let w(o) = 0. What is o?
-1, 1
Let p(y) be the first derivative of -y**3/3 + 2*y**2 - 4*y + 6. Factor p(w).
-(w - 2)**2
Let q be (-4)/(-22) - 84/(-22). Let f(z) = z**2 - 9*z. Let b be f(10). What is v in v**q + b - 10 = 0?
0
Let y(a) be the second derivative