rst derivative of -v**5/30 + v**4/12 + 2*v**3/3 + 3*v**2/2 - 5. Let g(d) be the second derivative of j(d). Factor g(p).
-2*(p - 2)*(p + 1)
Let o(h) be the second derivative of -1/2*h**5 + 1/8*h**4 + 1/8*h**2 - 2*h + 1/3*h**3 + 0 + 5/24*h**6. Factor o(v).
(v - 1)**2*(5*v + 1)**2/4
Suppose p - 1 = -0. Let h be 1/p*(1 + 3). Suppose -48*g**3 + 0*g**2 - 32*g**h - 3*g + g - 18*g**2 = 0. What is g?
-1, -1/4, 0
Factor 2/11*f**2 + 32/11 - 16/11*f.
2*(f - 4)**2/11
Let p(w) = w + 9. Let d be p(-7). Let f(z) be the first derivative of 2*z + 2/3*z**3 - 2 + d*z**2. Factor f(c).
2*(c + 1)**2
Let o(j) be the first derivative of j**6/12 - j**5/5 - j**4/8 + j**3/3 + 3. Find p such that o(p) = 0.
-1, 0, 1, 2
Factor 0*h**3 + 0*h - 2/21*h**2 + 0 + 2/21*h**4.
2*h**2*(h - 1)*(h + 1)/21
Determine t, given that -13*t + 5*t**2 + 13*t = 0.
0
Let u = 9944/39 + -255. Let y = u - -43/156. Factor -y - 3/4*g**2 + 3/4*g + 1/4*g**3.
(g - 1)**3/4
Let t(d) be the second derivative of -d**4/24 - 7*d**3/6 - 49*d**2/4 + 15*d. Let t(g) = 0. What is g?
-7
Solve 19*k**2 + 0*k - 1 + 2*k - 20*k**2 = 0 for k.
1
Let a(y) be the third derivative of -y**6/120 - y**5/60 + y**4/12 - 2*y**2. What is r in a(r) = 0?
-2, 0, 1
Suppose -w + 3*u = -u, 4*w + u = 0. Suppose -3*t + 44 = t - 4*s, 2*t + 4*s - 46 = w. Let -6*f**5 - 12*f**3 + 3*f**2 + t*f**4 - 7*f**3 + 7*f**3 = 0. Calculate f.
0, 1/2, 1
Let x(v) be the first derivative of -v**8/280 + v**7/84 - v**6/180 - v**5/60 + v**3/3 - 1. Let n(p) be the third derivative of x(p). Solve n(y) = 0.
-1/3, 0, 1
Let m(p) be the second derivative of -3*p**5/32 + p**4/48 - 2*p. Let m(z) = 0. Calculate z.
0, 2/15
Suppose 4*i - 20 = -0*i. Factor -f - 2*f**5 - 3*f**4 + 5*f**4 - 2*f**2 + 3*f**5 + 0*f**i.
f*(f - 1)*(f + 1)**3
Let -6/7*d**3 - 9/7*d**4 + 11/7*d**2 - 4/7 + 4/7*d = 0. Calculate d.
-1, 2/3
Let p(k) = 4*k**3 - 7*k**2 + 4*k - 3. Let c = -11 + 0. Let x(b) = -20*b**3 + 34*b**2 - 19*b + 16. Let g(u) = c*p(u) - 2*x(u). Let g(s) = 0. What is s?
1/4, 1
Suppose -8/5*v + 12/5*v**2 - 4/5 = 0. What is v?
-1/3, 1
Let z be (-3)/(-22)*((-120)/(-18))/5. Factor 4/11*l - 6/11 + z*l**2.
2*(l - 1)*(l + 3)/11
Suppose 0*c + 0 - 12/7*c**5 + 0*c**3 + 16/7*c**2 - 4*c**4 = 0. Calculate c.
-2, -1, 0, 2/3
Let h(a) be the second derivative of -a**7/840 + a**6/60 - a**5/10 - a**4/6 + 3*a. Let t(q) be the third derivative of h(q). Factor t(u).
-3*(u - 2)**2
Let l be (-7)/(7/(-10)) + -5. Let s(i) be the second derivative of 1/165*i**6 + 0 + 4*i - 3/110*i**l + 0*i**2 - 1/33*i**3 + 1/22*i**4. Solve s(q) = 0.
0, 1
Let j(y) be the second derivative of y**4/12 - y**3 + 5*y**2/2 + 6*y. Suppose -4*f = -2 - 2. Let q(h) = h - 1. Let l(k) = f*j(k) + 3*q(k). Factor l(d).
(d - 2)*(d - 1)
Let w(m) = -11*m**3 - 7*m**2 + 11*m + 7. Let r(a) = -5*a**3 - 3*a**2 + 5*a + 3. Let s(u) = 14*r(u) - 6*w(u). Factor s(g).
-4*g*(g - 1)*(g + 1)
Factor -3*i**2 - 3*i**3 + 3*i**4 + 0*i**4 - i**3 + i**3 + 3*i.
3*i*(i - 1)**2*(i + 1)
Factor -10*u**2 - 2*u - 4*u**3 + u**3 - 3*u + 13*u.
-u*(u + 4)*(3*u - 2)
Let o = 517 - 1031/2. Factor o*j**2 - 2 - 1/2*j**4 + 2*j - j**3.
-(j - 1)**2*(j + 2)**2/2
Let j be 40/220 + (1 - 26/22). Let d(x) be the second derivative of j*x**2 + 0 - 1/2*x**4 + x - 2/9*x**3 - 3/20*x**6 - 9/20*x**5. Let d(z) = 0. Calculate z.
-2/3, 0
Let g(l) = -2*l**2 + 12*l. Let m(z) = 2*z**2 - 10*z. Let j(b) = 4*g(b) + 6*m(b). Find a such that j(a) = 0.
0, 3
Let l be 4/12 - (-1)/(-3). Suppose i + 3*u + 13 = l, 7 = -6*i + 2*i - 3*u. Factor 2 - 2 - i*t**2.
-2*t**2
Let q = 24 - 9. Let m be q/4 - 5/(-20). Factor -4*y**4 + 0*y**4 - 2*y**2 + 3*y**m - 3*y**3.
-y**2*(y + 1)*(y + 2)
Let t(h) be the third derivative of -h**9/37800 - h**8/16800 + h**7/12600 - h**5/60 + h**2. Let d(v) be the third derivative of t(v). What is q in d(q) = 0?
-1, 0, 1/4
Suppose -51 = 5*w - 21. Let m be ((-10)/4)/(3/w). Suppose -1/4 + 1/4*z + 1/4*z**m - 1/2*z**3 + 1/2*z**2 - 1/4*z**4 = 0. What is z?
-1, 1
Factor -16/3*g**3 + 4/3*g**4 + 20/3*g**2 - 8/3*g + 0.
4*g*(g - 2)*(g - 1)**2/3
Let y(x) be the first derivative of -x**7/21 + x**6/15 + x**5/10 - x**4/6 + 2*x - 2. Let l(g) be the first derivative of y(g). Determine c, given that l(c) = 0.
-1, 0, 1
Factor 2/5*g**2 + 0*g + 0 + 6/5*g**4 + 6/5*g**3 + 2/5*g**5.
2*g**2*(g + 1)**3/5
Let h(n) be the second derivative of -n**6/10 - n**5/4 + 5*n**4/12 + 5*n**3/6 - n**2 - 3*n. Determine z, given that h(z) = 0.
-2, -1, 1/3, 1
Let a(x) = -x**3 + 3*x**2 - x. Let q = 3 + -1. Let w be a(q). Factor 5*s**2 - w*s - 2*s**3 - s**2 + 0*s.
-2*s*(s - 1)**2
Let l be (-1)/(28/(-8) - -3). Suppose -3*d = d - 3*z - 30, 4*d + 2*z = 20. Solve d*m - 6*m + 2*m**3 - 2*m**l = 0.
0, 1
Let q(l) be the third derivative of -l**6/60 + 2*l**5/15 - l**4/3 + 10*l**2. Find n, given that q(n) = 0.
0, 2
Let t(p) be the third derivative of 2*p**2 + 1/30*p**5 + 0*p + 1/180*p**6 + 0 + 1/12*p**4 + 1/9*p**3. Factor t(d).
2*(d + 1)**3/3
Let u(i) be the first derivative of i**6/40 + i**5/10 + i**4/8 + i**2/2 + 4. Let l(j) be the second derivative of u(j). Determine y so that l(y) = 0.
-1, 0
Let z(h) be the first derivative of h**6/27 - h**4/18 + 2. Factor z(l).
2*l**3*(l - 1)*(l + 1)/9
Let v(q) = 2*q**3 - 6*q**2 - 10*q - 2. Let b(m) = 5*m**3 - 18*m**2 - 29*m - 6. Let c be 8 + 1*(1 - -2). Let z(p) = c*v(p) - 4*b(p). Solve z(j) = 0 for j.
-1
Let k(y) = 19*y**3 - 23*y**2 + 4*y - 5. Let r be 28/6 - 2/3. Let x(f) = 23*f**2 + 10 - r - 20*f**3 + f**2 - 4*f. Let q(j) = 6*k(j) + 5*x(j). Factor q(m).
2*m*(m - 1)*(7*m - 2)
Let p(w) = -5*w + w - w + 4*w. Let y(c) = 5*c**2 + 2*c. Let x(r) = 3*p(r) + y(r). What is k in x(k) = 0?
0, 1/5
Suppose 5*z**4 - 27*z**3 - 5*z**2 + 56*z**3 + 10*z - 39*z**3 = 0. What is z?
-1, 0, 1, 2
Let i(g) be the third derivative of g**6/120 + g**5/30 - g**4/24 - g**3/3 + g**2. Factor i(b).
(b - 1)*(b + 1)*(b + 2)
Let a be 2 + (-10)/8 + (-5)/12. Factor a*l**2 + 1/3*l + 0.
l*(l + 1)/3
Let o(s) be the third derivative of 2*s**5/35 - 5*s**4/28 + s**3/7 - s**2 - 2. Factor o(w).
6*(w - 1)*(4*w - 1)/7
Let a = -13 - -21. Determine g, given that -6*g**3 - 2*g**4 + g**2 + g**2 - a*g**2 - 2*g = 0.
-1, 0
Let h be -8*6*3/(-24). Let o = -4 + h. Let 2*f + 4 - 4 - 4*f**o + 6*f**2 = 0. What is f?
-1, 0
Let x(s) be the second derivative of s**4/2 - s**3/3 + 2*s**2 - 8*s. Let i(m) = -m**2 + m - 1. Let f(z) = 4*i(z) + x(z). Factor f(q).
2*q*(q + 1)
Let c(p) be the second derivative of -14/3*p**3 + 0 + 2*p**2 + 49/12*p**4 - 2*p. Factor c(m).
(7*m - 2)**2
Let f(h) be the third derivative of -5*h**2 + 0*h**5 + 1/504*h**8 + 1/360*h**6 + 1/210*h**7 + 0 + 0*h**4 + 0*h + 0*h**3. Factor f(x).
x**3*(x + 1)*(2*x + 1)/3
Factor 55*t**4 - 5*t + 35*t**2 - 5*t - 5*t**5 - 45*t**3 - 30*t**4.
-5*t*(t - 2)*(t - 1)**3
Let k(d) = d**3 - d**2 - d + 1. Let j be k(0). Let v be (j - 0)*0/(-2). Determine q, given that 4/7*q**2 + 2/7*q**3 + 0 + v*q = 0.
-2, 0
Suppose 0 = 5*z + 2*b - 12 - 12, -2*z = b - 10. Let g be (-3)/(-7 + 1)*z. Let -8 + g*m**2 - 2*m + 2 + 2 = 0. What is m?
-1, 2
Let b(r) be the third derivative of -r**5/135 - r**4/27 + 2*r**3/9 + 9*r**2. Factor b(w).
-4*(w - 1)*(w + 3)/9
Let m be (-24)/40 - (-73)/105. Let f(c) be the first derivative of 0*c - 3 - 1/14*c**4 + 2/7*c**2 - m*c**3. Factor f(a).
-2*a*(a - 1)*(a + 2)/7
Let a(m) be the first derivative of -4*m**5/5 - 8*m**4 - 20*m**3 + 16*m**2 + 64*m - 3. Factor a(w).
-4*(w - 1)*(w + 1)*(w + 4)**2
Let -8/9*b - 10/9 + 2/9*b**2 = 0. What is b?
-1, 5
Determine u, given that 2*u + 7*u + 6 - 113*u**3 + 110*u**3 = 0.
-1, 2
Let v(r) be the first derivative of -2*r - 4*r**2 - 2 - r**4 - 10/3*r**3. Factor v(f).
-2*(f + 1)**2*(2*f + 1)
Suppose -2/9*f**2 + 0 + 2/9*f**3 - 2/9*f + 2/9*f**4 = 0. What is f?
-1, 0, 1
Let f(v) be the second derivative of v**6/135 - v**4/36 + v**3/27 + 2*v**2 + 2*v. Let j(t) be the first derivative of f(t). Suppose j(l) = 0. What is l?
-1, 1/2
Let x be ((-18)/(-4))/(15/318). Let f = x - 95. Suppose -f*h**3 + 4/5*h**2 - 2/5*h + 0 = 0. Calculate h.
0, 1
Let x(v) = -v**3 + v**2 - v - 1. Let d(h) = 8*h**2 - 4*h - 4. Let u be (4/10 - 0)*-10. Let z(l) = u*x(l) + d(l). Factor z(g).
4*g**2*(g + 1)
Let t(c) be the first derivative of -c**6/2 - 3*c**5/5 + 15*c**4/4 + c**3 - 12*c**2 + 12*c + 4. Factor t(a).
-3*(a - 1)**3*(a + 2)**2
Let b(s) be the first derivative of -3 + 1/66*s**4 + 2/33*s**3 + 1/11*s*