pose g*a**2 - d*a**2 + 4*a + 3*a**2 - 5*a - 2 = 0. Calculate a.
-1, 2
Let u be (11 + -4 - 5)*(-1)/(-30). Let m(p) be the second derivative of 0*p**3 + 0 + u*p**6 + 3*p + 1/3*p**4 - 3/10*p**5 + 0*p**2. Solve m(k) = 0 for k.
0, 1, 2
Factor -d**2 - 2*d**3 - 14*d**3 + 54 - 2*d**4 - 35*d**2.
-2*(d - 1)*(d + 3)**3
Suppose 2*l + 3*a = 5*a + 12, -4*l = a - 34. Let b = 11 - l. Factor 2 + 2 - n**2 - b.
-(n - 1)*(n + 1)
Let k(z) = 110*z**2 + 1365*z + 3960. Let w(s) = 5*s**2 + 62*s + 180. Let q(h) = 2*k(h) - 45*w(h). Factor q(r).
-5*(r + 6)**2
Let k(l) be the third derivative of 2*l**2 + 0*l**4 + 0*l**6 + 1/15*l**5 + 0 + 0*l - 1/105*l**7 - 1/3*l**3. Factor k(t).
-2*(t - 1)**2*(t + 1)**2
Let h(s) be the first derivative of -s**4/12 + 2*s**3/9 - s**2/6 - 11. Solve h(o) = 0.
0, 1
Suppose -2*a = -4, 2*c - 7*c - 2*a = -44. Factor -c*u**2 - 9*u**2 - 9*u + 14*u**2.
-3*u*(u + 3)
Factor -4*x**2 + 36/5 - 4/5*x**3 - 12/5*x.
-4*(x - 1)*(x + 3)**2/5
Factor -1 - 5/3*u - 1/3*u**2 + 1/3*u**3.
(u - 3)*(u + 1)**2/3
Let x(k) be the second derivative of -1/5*k**5 - 6*k - 2*k**2 + 0 - k**4 - 2*k**3. Factor x(o).
-4*(o + 1)**3
Let i be 10/(-25) - (-12)/5. Let -2*f**2 - f**i + 1 + 2*f**2 = 0. What is f?
-1, 1
Let i(u) = -47*u**3 + 343*u**2 - 213*u + 33. Let j(q) = -48*q**3 + 342*q**2 - 212*q + 32. Let k(o) = 3*i(o) - 2*j(o). Find c, given that k(c) = 0.
1/3, 7
What is s in -3/2*s**2 + 1/2*s**3 - s + 0 + 3/2*s**4 + 1/2*s**5 = 0?
-2, -1, 0, 1
Let m(r) be the first derivative of 0*r - 2/9*r**3 - 1/3*r**4 - 3 + 1/3*r**2. Factor m(i).
-2*i*(i + 1)*(2*i - 1)/3
Let v(r) = 9*r**4 - 36*r**3 + 86*r**2 - 80*r + 29. Let x(s) = 125*s**4 - 505*s**3 + 1205*s**2 - 1120*s + 405. Let k(p) = -55*v(p) + 4*x(p). Factor k(d).
5*(d - 5)*(d - 1)**3
Determine r, given that -1/2*r + 0*r**2 + 1/2*r**3 + 0 = 0.
-1, 0, 1
Let x be 6*((-1)/(-2) + 0). Suppose -o = x*o. Determine l so that -1/4*l**5 + 0 + o*l**2 + 1/2*l**3 + 0*l**4 - 1/4*l = 0.
-1, 0, 1
Let k(v) be the second derivative of v**4/12 - 7*v**3/18 + v**2/3 + 6*v. Suppose k(r) = 0. What is r?
1/3, 2
Let j be 8/(-2)*7/(-14). Let o be (-1 - j) + 39/12. Find m such that 1/4*m + 0 + o*m**2 = 0.
-1, 0
Let -2/3*c**2 - 2/3*c**5 + 1/3 + 2/3*c - 7/3*c**4 - 8/3*c**3 = 0. What is c?
-1, 1/2
Let p(d) = 8*d**2 - 16*d - 5. Let a = -62 - -34. Let j(c) = 44*c**2 - 88*c - 28. Let t(w) = a*p(w) + 5*j(w). Factor t(x).
-4*x*(x - 2)
Factor 3*d**2 + 4*d - 3 + 4*d + 11 - d**2.
2*(d + 2)**2
Let c(p) be the third derivative of -p**6/360 + p**5/60 - p**4/24 + p**3/3 + p**2. Let u(z) be the first derivative of c(z). Factor u(k).
-(k - 1)**2
Let -2/11*l**2 + 0*l - 2/11*l**5 + 2/11*l**3 + 0 + 2/11*l**4 = 0. What is l?
-1, 0, 1
Let r = -126 + 129. Let m(z) be the second derivative of 2/3*z**r + 0 - 1/6*z**4 + 5*z + 0*z**2. Find t such that m(t) = 0.
0, 2
Solve 8*v**3 - 3 - 4*v**2 - 14*v**4 + 3 + 10*v**4 = 0.
0, 1
Let y(j) = -j**3 + j**2 + j + 2. Let t be y(0). Factor -4/5 - 8/5*f**t - 2*f - 2/5*f**3.
-2*(f + 1)**2*(f + 2)/5
Suppose -3*y = y - 4, -4*r + 4*y + 36 = 0. Let f be ((-1)/r)/((-2)/4). Factor 0 - 1/5*n**3 - f*n**4 + 0*n**2 + 0*n.
-n**3*(n + 1)/5
Let d(u) be the third derivative of u**5/90 - u**4/18 + 5*u**2. Factor d(c).
2*c*(c - 2)/3
Let u(i) be the second derivative of -i**6/240 + i**5/240 + i**4/48 - i**3/24 - i**2/2 - 3*i. Let v(m) be the first derivative of u(m). Factor v(t).
-(t - 1)*(t + 1)*(2*t - 1)/4
Let h be -1*(3 - 2/(-6)*-10). What is a in -7/6*a**3 + 1/6*a**4 + 1/6*a**2 + 5/6*a + h*a**5 - 1/3 = 0?
-2, -1, 1/2, 1
Let g(a) be the third derivative of -a**7/210 + a**6/60 + a**5/60 - a**4/12 - 16*a**2. Factor g(t).
-t*(t - 2)*(t - 1)*(t + 1)
Let j = 129/335 - -1/67. Suppose -2/5*b**3 + 0 - j*b - 4/5*b**2 = 0. What is b?
-1, 0
Let y = -3 - -7. Let z(b) = 2*b + 6*b + y*b**3 + 7*b**2 + b**2. Let o(f) = 21*f**3 + 41*f**2 + 41*f - 1. Let l(x) = 2*o(x) - 11*z(x). Factor l(t).
-2*(t + 1)**3
Suppose -f - 10 = -2*c, 5*f - 34 - 7 = -3*c. Suppose -4*y = 5*r + 3, -2 = -3*r + 3*y + c. Factor -4*l**4 + r - l**4 + 4*l**4 + 0*l**3 + 2*l**3 - 2*l.
-(l - 1)**3*(l + 1)
Let d be (-36)/15*10/(-4). Suppose 2*c + 5*s = -15, -c - 2*s = -2*c + d. Let 1/2*l**3 + 0 + c*l + 0*l**2 = 0. Calculate l.
0
Let l(c) be the second derivative of 3*c**7/28 + 7*c**6/20 + 3*c**5/20 - 3*c**4/4 - 5*c**3/4 - 3*c**2/4 - 21*c. Let l(s) = 0. Calculate s.
-1, -1/3, 1
Let p be (-2)/3*-5*-3. Let c = p + 12. Let -2/7*o**2 + 4/7 - 2/7*o**4 - 34/7*o**3 + 20/7*o**5 + c*o = 0. Calculate o.
-1, -1/2, -2/5, 1
Let w be 12/(-4 + 4 + 1). Let p be 5*(-4)/w*-3. Let 0*z + 2/3*z**4 - 2/3*z**3 + 0 - 2/3*z**2 + 2/3*z**p = 0. What is z?
-1, 0, 1
Let c(d) be the third derivative of -1/3*d**3 - 4*d**2 + 1/42*d**7 + 0 + 1/24*d**4 + 0*d - 13/120*d**6 + 3/20*d**5. Find q, given that c(q) = 0.
-2/5, 1
What is z in 2*z**4 + 4*z**3 + 2714*z**2 - z**4 - 2711*z**2 = 0?
-3, -1, 0
Let v(l) = l**2 + l. Let r(d) = d**4 - 6*d**3 + 6*d**2 + 4*d - 9. Let j(h) = -r(h) - 2*v(h). Let j(m) = 0. What is m?
-1, 1, 3
Let w(y) be the first derivative of 2*y**3/45 + y**2/15 + 30. Factor w(m).
2*m*(m + 1)/15
Let b(v) be the third derivative of -v**7/840 + v**6/480 + v**5/240 - v**4/96 - 6*v**2. Factor b(t).
-t*(t - 1)**2*(t + 1)/4
Let j = 737/940 + 3/188. Factor 6/5*c**2 + j*c + 0.
2*c*(3*c + 2)/5
Let 0 + 2/5*n**2 + 1/5*n**3 + 1/5*n = 0. Calculate n.
-1, 0
Suppose 0 = -5*j + j + 20. Let i(o) be the third derivative of -1/90*o**6 - 1/9*o**3 + 0 + 11/180*o**j - 5/72*o**4 + 0*o - 3*o**2. Let i(n) = 0. Calculate n.
-1/4, 1, 2
Let u(r) be the first derivative of 1/21*r**3 + 2 + 0*r + 1/2*r**2 + 1/210*r**5 + 1/42*r**4. Let j(a) be the second derivative of u(a). Factor j(l).
2*(l + 1)**2/7
Let h(w) be the second derivative of 2*w + 0 + 0*w**2 + 1/45*w**3 + 1/90*w**4. Factor h(u).
2*u*(u + 1)/15
Let w(l) be the first derivative of 0*l - 1/3*l**3 - 1/240*l**5 + 1/1440*l**6 + 0*l**2 + 5 + 0*l**4. Let t(c) be the third derivative of w(c). Factor t(k).
k*(k - 2)/4
Suppose 0 = m - 2 - 2. Factor -l**m - l**4 + 4*l + 12*l**4 - 7*l**2 - 4*l**3 - 3*l**2.
2*l*(l - 1)*(l + 1)*(5*l - 2)
Suppose 0 = -4*y - 5*a + 72, 2*y + 2*a + 18 = 3*y. Let w be (-25)/(-90) - (-4)/y. Factor -w*i + 1/2*i**2 + 0.
i*(i - 1)/2
Let x be 9/405*314/26. Let k = x - 3/65. Let -4/9 + k*g**2 - 2/9*g = 0. Calculate g.
-1, 2
Let w(r) be the third derivative of r**5/20 + 10*r**2. Factor w(q).
3*q**2
Let y = -14 - -24. Solve 10*f - 8*f**2 - y*f**3 - 4 + 8*f**2 + 4*f**4 = 0.
-1, 1/2, 1, 2
Let g(p) be the first derivative of -1/6*p**3 - 1 - 1/4*p**2 + 0*p. Let g(c) = 0. What is c?
-1, 0
Suppose -11*q = -5*q. Let p(x) be the first derivative of 0*x**4 - 2 + q*x + 2/25*x**5 - 2/15*x**3 + 0*x**2. Solve p(i) = 0.
-1, 0, 1
Suppose -c + 12 = 3*y + 2, 10 = -5*c. Solve -1/3 + 7/6*v + 5/6*v**3 - 1/6*v**y - 3/2*v**2 = 0.
1, 2
Let c(s) = s. Let b be c(-2). Let j = 0 - b. Determine x, given that 0 + 2*x**j - 2 + 0 = 0.
-1, 1
Let q(l) be the first derivative of -3*l**5/35 - 15*l**4/28 - 9*l**3/7 - 3*l**2/2 - 6*l/7 - 12. What is d in q(d) = 0?
-2, -1
Let y be (-9)/(-18) + (-51)/(-18) + -3. Factor -1/3*b**4 + 2/3*b**3 + 0*b**2 + y - 2/3*b.
-(b - 1)**3*(b + 1)/3
Let x be ((12 - 0)/(-2))/(-2). Suppose -2*f = -x*f + 2. Determine r so that -4*r**2 - 3*r + 3*r**f + 4*r = 0.
0, 1
Let u(f) = -10*f**3 + 7*f**2 - f - 4. Let c = 0 + 4. Let t(p) = -11*p**3 + 8*p**2 - 2*p - 5. Let j(l) = c*t(l) - 5*u(l). What is i in j(i) = 0?
-1/2, 0, 1
Let s(f) be the third derivative of f**5/45 + 2*f**4/9 + 2*f**3/3 + 2*f**2 + 11*f. Factor s(q).
4*(q + 1)*(q + 3)/3
Let f be 1/(2 + -3) + 4. Factor -s**4 + 0*s**f - s**4 + 4*s**3 + 6*s**4.
4*s**3*(s + 1)
Factor -25*t**2 - 2 - 2*t**2 + t + 17*t - 1.
-3*(3*t - 1)**2
Let s(g) be the second derivative of -g**5/4 - 5*g**4/2 - 15*g**3/2 - 10*g**2 + 17*g - 1. Factor s(b).
-5*(b + 1)**2*(b + 4)
Let q(k) = -9*k**3 - 12*k**2 + 11. Let h(d) = -14*d**3 - 18*d**2 + 16. Let r be (-6 - -8)/(2/8). Let n(b) = r*q(b) - 5*h(b). Factor n(c).
-2*(c - 1)*(c + 2)**2
Let p(y) be the third derivative of 1/210*y**7 - 4*y**2 - 1/60*y**5 + 0*y + 0*y**3 + 1/24*y**4 - 1/120*y**6 + 0. Suppose p(u) = 0. Calculate u.
-1, 0, 1
Let m(j) be the second derivative of j**8/13440 - j**7/5040 + j**4/4 - 3*j. Let h(v) be the third derivative of m(v). Factor h(n).
n**2*(n - 1)/2
Suppose 4*s = -4*b + 5*b + 17, 0 = 2*s + 5*b + 19. Let i(c)