2/5*d**x - 6/5*d**3 + 2/5*d**2 + 6/5*d = 0.
-1, 1, 2
Let r(f) be the third derivative of 0*f**3 + 0 + 1/30*f**5 + 2*f**2 + 1/6*f**4 + 0*f. Factor r(d).
2*d*(d + 2)
Let f(h) = -h**2 + h - 1. Let u(i) = -3*i**3 + 21*i**2 - 30*i + 3. Let l(d) = 3*f(d) + u(d). Let l(s) = 0. Calculate s.
0, 3
Find k such that 1 - 2*k**2 - 6 + 7*k**2 = 0.
-1, 1
Let h(b) = b**2 - 11*b + 4. Let n(i) = 4*i**2 - 56*i + 20. Let p(d) = -16*h(d) + 3*n(d). Solve p(v) = 0.
1
Let a = 1147 - 14901/13. Factor -8/13*i**2 - a*i - 2/13.
-2*(i + 1)*(4*i + 1)/13
Let w(x) be the second derivative of 1/4*x**4 + 0*x**2 - x**3 + 0 + 3/20*x**5 + x. Factor w(j).
3*j*(j - 1)*(j + 2)
Let n(x) be the third derivative of -x**7/18900 + x**5/900 - x**4/6 - 5*x**2. Let j(i) be the second derivative of n(i). Let j(r) = 0. What is r?
-1, 1
Let v be 1 + 4*((-15)/(-6))/5. Let z(k) be the first derivative of 1/6*k**4 + 2/9*k**2 + 0*k + v + 10/27*k**3. Solve z(p) = 0 for p.
-1, -2/3, 0
Let f(s) be the third derivative of 2*s**7/735 - s**6/42 + 37*s**2. Find t, given that f(t) = 0.
0, 5
Suppose 10 = d + 4*m, -2 = 3*d - 0*m - 4*m. Solve 0 - 2/5*h + 2/5*h**d = 0 for h.
0, 1
Let i(k) be the second derivative of k**5/5 + k**4/3 - 4*k**3/3 + 28*k. Factor i(m).
4*m*(m - 1)*(m + 2)
Suppose 2*s**4 + 12*s - 2*s**4 - 9*s**3 - 3*s**4 = 0. What is s?
-2, 0, 1
Let g be (-6)/120*-8 + 0. Factor -2/5 + g*f**2 + 0*f.
2*(f - 1)*(f + 1)/5
Let r(b) be the third derivative of 0 - 1/12*b**4 + 2*b**2 + 0*b + 0*b**3 - 1/30*b**5. Find d, given that r(d) = 0.
-1, 0
Let j(s) be the first derivative of -s**5/240 - s**4/64 - s**3/48 + 3*s**2/2 + 2. Let f(h) be the second derivative of j(h). Determine v so that f(v) = 0.
-1, -1/2
Let m be 0*(6/4)/3. Let x be 20/6 - (-1)/(-3). Factor 4/9*u**2 + m + 2/9*u**x + 2/9*u.
2*u*(u + 1)**2/9
Let k = -617 - -6782/11. Let n = k + 21/22. Solve 0 - n*y**3 + 0*y**2 - 1/2*y**4 + 0*y = 0.
-1, 0
Let w(h) be the second derivative of h**5/50 - h**4/10 + 2*h**3/15 - 19*h. Factor w(d).
2*d*(d - 2)*(d - 1)/5
Suppose 6 = g + 3. Factor 2/3*k - 2/3*k**g - 2/3 + 2/3*k**2.
-2*(k - 1)**2*(k + 1)/3
Let c(i) be the third derivative of 2*i**7/35 + 17*i**6/30 - 2*i**5/5 - 16*i**4 + 64*i**3/3 + 26*i**2. Find k, given that c(k) = 0.
-4, 1/3, 2
Let h(r) be the second derivative of -r**7/189 + r**6/135 + r**5/90 - r**4/54 - 14*r. Factor h(l).
-2*l**2*(l - 1)**2*(l + 1)/9
Let b(j) = 11*j**2 - 23*j + 7. Let f(g) = 2*g + 0*g - 4 - 5*g**2 + 6*g + 3*g. Let o(p) = 2*b(p) + 5*f(p). Determine a so that o(a) = 0.
1, 2
Let y be 22/(-33) + (-28)/(-6). Let n(h) be the first derivative of -1/4*h**y + h**3 - 2 - 3/5*h**5 + 0*h + 1/2*h**2. Factor n(s).
-s*(s - 1)*(s + 1)*(3*s + 1)
Solve -4/13*c + 0 + 28/13*c**3 - 6/13*c**2 + 30/13*c**4 = 0 for c.
-1, -1/3, 0, 2/5
Let v(f) be the second derivative of f**6/15 - 13*f**5/20 + 4*f**4/3 - 5*f**3/6 + 41*f. Factor v(d).
d*(d - 5)*(d - 1)*(2*d - 1)
Let v(n) be the first derivative of -n**7/1680 + n**6/360 - n**5/240 + n**3/3 + 3. Let b(t) be the third derivative of v(t). Solve b(u) = 0.
0, 1
Suppose -2*m - d - 16 = 0, 0*m - m - 13 = -2*d. Let l(o) = o + 12. Let f be l(m). Solve -z**5 - 2*z**5 - f*z**4 + 0*z**5 + 0*z**4 = 0.
-1, 0
Let o(t) = t**2 + 6*t - 5. Let u be o(-5). Let l = 12 + u. Determine w, given that -8/5*w**l + 6/5*w + 2/5 = 0.
-1/4, 1
Let j be (3/1 - 2) + 1. Factor m**5 + m**2 - m**3 + 2 - j - m**4.
m**2*(m - 1)**2*(m + 1)
Let b = 80 - 75. Let m(z) be the third derivative of 0 - 1/48*z**4 + 0*z**3 - 3*z**2 + 1/240*z**6 + 0*z + 0*z**b. Let m(j) = 0. Calculate j.
-1, 0, 1
Let v(s) be the second derivative of 4*s**7/231 + 3*s**6/55 - s**5/55 - 3*s**4/22 - 2*s**3/33 + 3*s. Determine k, given that v(k) = 0.
-2, -1, -1/4, 0, 1
Factor -14 + 7*w**2 + 8*w + 14 - 3*w**2.
4*w*(w + 2)
Let r = -31 - -20. Let q be (r - -7)/(36/(-2)). Find j such that -4/9*j - q*j**4 + 4/9*j**3 + 2/9 + 0*j**2 = 0.
-1, 1
Let z(s) = 2*s - s**2 + 0*s - 5 - s**2. Let i(w) = -6*w**2 + 27 + 5*w - 2*w**2 + 3*w**2 - 38. Let d(q) = 3*i(q) - 7*z(q). Let d(b) = 0. Calculate b.
-1, 2
Suppose 4*q - 28 = -6*s + 2*s, 5*q + 3*s - 25 = 0. Let c(k) be the second derivative of q*k + 1/6*k**3 - 1/2*k**2 + 0 - 1/48*k**4. Let c(m) = 0. What is m?
2
Let r(v) be the third derivative of v**6/48 - v**5/72 - 5*v**4/48 + 5*v**3/36 + 7*v**2. What is a in r(a) = 0?
-1, 1/3, 1
Let l = -3 + 5. Factor -m**3 - 2*m**3 - 4*m**2 + 3*m**l + 4*m**3.
m**2*(m - 1)
Let k = 6 - 1. Factor -5*s + 5*s + 7*s**5 - 9*s**3 - 6*s**2 - 4*s**k.
3*s**2*(s - 2)*(s + 1)**2
Let j(y) = -5*y**3 - 3*y**2 + 12*y + 8. Let k(q) = -12*q**3 - 3*q**3 + 31 - 10*q**2 - 8 - 20*q + 55*q. Let o(h) = -11*j(h) + 4*k(h). Factor o(a).
-(a - 1)*(a + 2)*(5*a + 2)
Suppose 0 - 8/3*b**5 + 10/3*b**2 + 2*b**3 - 10/3*b**4 + 2/3*b = 0. Calculate b.
-1, -1/4, 0, 1
Let r(c) be the first derivative of 1/9*c**3 - 1 - 1/6*c**2 + 0*c. Find f, given that r(f) = 0.
0, 1
Factor 2/7*m**2 + 8/7 + 8/7*m.
2*(m + 2)**2/7
Let q(l) be the second derivative of l**6/120 - l**5/40 - l**4/48 + l**3/12 - 26*l. Suppose q(g) = 0. Calculate g.
-1, 0, 1, 2
Suppose -2*h = -4*k + 18, -k + 3*h + h + 22 = 0. Determine l so that 7*l**3 + 5*l**3 - 4*l**k - l + 3*l**2 = 0.
-1/4, 0, 1/3
Let g be 63/(-13) - 17/((-51)/15). Determine x, given that -4/13*x**2 - 4/13*x**3 + g*x**5 + 2/13 + 2/13*x + 2/13*x**4 = 0.
-1, 1
Determine d, given that 1/2*d**3 + 1/2*d + d**2 + 0 = 0.
-1, 0
Find c such that -6*c**3 - 7*c**3 - 6*c**3 - 15*c**2 - 10*c + 14*c**3 = 0.
-2, -1, 0
Let t(g) be the first derivative of 28*g**3/9 - 6*g**2 + 8*g/3 + 6. Find s such that t(s) = 0.
2/7, 1
Let m(u) be the first derivative of -2*u**5/35 + 2*u**3/21 - 32. Factor m(b).
-2*b**2*(b - 1)*(b + 1)/7
Let c(r) = -5*r**2 + 5*r - 5. Let t(l) = -6*l**2 + 4*l - 4. Let i(d) = 4*c(d) - 3*t(d). Suppose i(b) = 0. Calculate b.
2
Let j(d) be the second derivative of d**7/189 - d**5/30 + d**4/27 - d. Determine f, given that j(f) = 0.
-2, 0, 1
Let y(u) be the first derivative of -u**6/180 + u**5/30 + u**2 + 3. Let c(o) be the second derivative of y(o). Factor c(z).
-2*z**2*(z - 3)/3
Let d(l) be the third derivative of l**8/168 + 2*l**7/105 - l**5/15 - l**4/12 - 13*l**2. Solve d(g) = 0.
-1, 0, 1
Let z(j) be the third derivative of j**8/1848 + j**7/231 + 3*j**6/220 + 7*j**5/330 + j**4/66 + 15*j**2. Factor z(c).
2*c*(c + 1)**3*(c + 2)/11
Let z be ((-6)/15)/(1/(-5)). What is r in -r + z*r - r**2 - 2*r + 0*r = 0?
-1, 0
Suppose 31*z**5 - 10*z**4 - 34*z**5 + 4*z**4 = 0. Calculate z.
-2, 0
Find w such that 0*w - 2/5*w**4 + 0 + 0*w**2 - 6/5*w**3 = 0.
-3, 0
Let i = 1 - 3. Let l(y) = -3*y**3 + 3*y**2 + y + 1. Let o(c) = 1 + 2*c**3 - 3*c**3 + 5*c**2 - c**2 - 3*c**2. Let q(g) = i*l(g) + 4*o(g). Factor q(u).
2*(u - 1)**2*(u + 1)
Let v(a) be the third derivative of -a**2 + 0 - 1/70*a**5 + 0*a**4 + 3/280*a**6 + 0*a + 0*a**3 + 1/98*a**7. What is g in v(g) = 0?
-1, 0, 2/5
Determine n so that -5/4*n**2 + 15/4*n + 5 = 0.
-1, 4
Let i(s) be the first derivative of 7*s**5/100 - 9*s**4/40 + s**3/5 + 2*s**2 - 4. Let j(b) be the second derivative of i(b). What is t in j(t) = 0?
2/7, 1
Let l(v) be the second derivative of 4*v**4/3 + 26*v**3/3 + 6*v**2 + 3*v. Factor l(c).
4*(c + 3)*(4*c + 1)
Let n(l) be the first derivative of 2*l**3/27 - 4*l**2/9 - 15. Factor n(k).
2*k*(k - 4)/9
Let f(v) = 2*v**3 + 2*v - 1. Let u be f(1). Factor -48*r - r**2 - 4*r**3 + 4*r**2 - 32 - u*r**2 - 24*r**2.
-4*(r + 2)**3
Let r(n) be the third derivative of n**8/48 + n**7/105 - 7*n**6/40 + 2*n**5/15 + n**4/6 + 5*n**2. Let r(o) = 0. Calculate o.
-2, -2/7, 0, 1
Factor -6 + 6*t**2 - 6*t**3 + 2*t + 2 + 2*t**2.
-2*(t - 1)**2*(3*t + 2)
Let x(q) = 17*q**3 - 8*q**2 - 17*q - 8. Let s(f) = 0 + 0*f + 3*f**2 - 6*f**3 + 3 - f + 7*f. Let t(a) = -8*s(a) - 3*x(a). Factor t(r).
-3*r*(r - 1)*(r + 1)
Let k(h) = 3*h**2 + 1. Let y(s) = -7*s**2 - s - 2. Let r(z) = -15*k(z) - 6*y(z). Factor r(m).
-3*(m - 1)**2
Let g(v) be the second derivative of -v**10/15120 + v**8/1680 - v**6/360 - v**4/12 - 3*v. Let t(d) be the third derivative of g(d). Factor t(h).
-2*h*(h - 1)**2*(h + 1)**2
Let m(r) be the second derivative of -r**7/168 - r**6/60 - r**5/80 - 5*r. Factor m(u).
-u**3*(u + 1)**2/4
Let s(q) be the second derivative of 0 + 0*q**5 - 1/42*q**4 + 1/14*q**2 + 0*q**3 + 5*q + 1/210*q**6. Factor s(l).
(l - 1)**2*(l + 1)**2/7
Let z be (111/48 + -2)*-52.