+ y**4/42 - y**3/14 - 18*y. Factor h(g).
g*(g - 1)*(g + 3)/7
Let j(t) = -24*t**3 - 3*t**2 - 15*t - 1. Let k(m) = -29*m**3 - 4*m**2 - 17*m. Let l(y) = 6*j(y) - 5*k(y). Factor l(u).
(u - 2)*(u + 1)*(u + 3)
Let g(d) be the third derivative of d**8/151200 - d**7/18900 + d**6/5400 - d**5/5 + 8*d**2. Let b(o) be the third derivative of g(o). Factor b(q).
2*(q - 1)**2/15
Let b be 1584/96*(-10)/(-55). Factor -2/5*q + 0 - 3/5*q**b + q**2.
-q*(q - 1)*(3*q - 2)/5
Let h be ((-3)/2)/(-5*(-5 + 161/28)). Suppose -h*o**2 - 2/5*o**4 + 4/5 + 6/5*o**3 - 6/5*o = 0. What is o?
-1, 1, 2
Let i(n) be the second derivative of 3*n**5/20 + n**4/4 - 2*n**3 - 6*n**2 + 2*n + 30. Suppose i(u) = 0. What is u?
-2, -1, 2
Let f(r) be the first derivative of r**4/20 - 16*r**3/15 + 14*r**2/5 - 49. Suppose f(h) = 0. What is h?
0, 2, 14
Suppose 2*n = 3*v - 3, -v - n + 6*n - 12 = 0. Factor 1/4*d**2 + 0 - 1/4*d**4 + 1/2*d**v - 1/2*d.
-d*(d - 2)*(d - 1)*(d + 1)/4
Find r such that -1/2*r**2 + 2*r + 0 = 0.
0, 4
Let z be (-13)/(585/(-6)) + -4 - (0 + -4). Factor 0 - z*a**5 + 0*a**2 + 2/15*a**4 + 4/5*a**3 + 0*a.
-2*a**3*(a - 3)*(a + 2)/15
Let s(u) be the second derivative of -u**7/6300 + u**6/900 - u**5/300 - u**4 - 5*u. Let q(n) be the third derivative of s(n). Factor q(o).
-2*(o - 1)**2/5
Suppose 5*h - 65 = -0*h. Suppose s - 1 = 5*t - 20, 3*t + s - h = 0. Suppose 2/5 - 2/5*l**5 + 2*l**4 + 4*l**2 - 2*l - t*l**3 = 0. Calculate l.
1
Let -92*m**5 - 74*m**2 + 8 + 464*m**4 - 848*m**3 + 754*m**2 - 169*m - 43*m = 0. Calculate m.
1/23, 1, 2
Let f be 10/35 - (5 - (-150)/(-14)). Let o(q) be the second derivative of 0 - 1/2*q**4 + 4*q**2 - 1/5*q**f + 3*q - 4*q**3 + q**5. What is c in o(c) = 0?
-1, 1/3, 2
Let r be (-55)/(-26) - (7047/(-58))/(-81). Suppose 6/13*p**2 - r*p**3 + 0 + 2/13*p = 0. Calculate p.
-1/4, 0, 1
Suppose 37*p**2 + 38 - 151/2*p + 1/2*p**3 = 0. What is p?
-76, 1
Let h(r) = -8*r**3 - 4*r**2 + 16*r. Let o be -1 + (4/2 - 0). Let z(n) = 3*n - 2*n - o + 2*n**2 + n**3 - 2*n**2. Let u(f) = -h(f) + 4*z(f). Factor u(d).
4*(d - 1)*(d + 1)*(3*d + 1)
Let a be 0 - -10 - (7 + (8 - 7)). Let -o + 8/3*o**a - o**3 - 2/3 = 0. Calculate o.
-1/3, 1, 2
Let g = 5051 - 35327/7. Factor -24/7*u**2 - g*u - 6/7*u**3 - 12/7.
-6*(u + 1)**2*(u + 2)/7
Let k(r) be the second derivative of -r**8/60 + 32*r**7/525 - 11*r**6/150 + 2*r**5/75 + 13*r**2/2 - 10*r. Let m(q) be the first derivative of k(q). Factor m(t).
-4*t**2*(t - 1)**2*(7*t - 2)/5
Let v(g) be the first derivative of g**3/9 - 17*g**2/6 + 10*g + 65. Factor v(m).
(m - 15)*(m - 2)/3
Let r(o) = -10*o**4 + 12*o**3 - 7*o**2 - 10*o + 5. Let j(d) = -d**2 - 2*d + 1. Let z(x) = 5*j(x) - r(x). Determine w so that z(w) = 0.
0, 1/5, 1
Let c = 394 + -394. Let x(l) be the third derivative of -1/280*l**7 + 0*l**4 + c*l + 0*l**3 + 0 - 1/160*l**6 - 8*l**2 + 1/448*l**8 + 1/80*l**5. Factor x(t).
3*t**2*(t - 1)**2*(t + 1)/4
Let f be (-4 - -1) + 102/12 - (-41 + 46). Let -1/4*v - 1/4*v**3 - f*v**2 + 0 = 0. Calculate v.
-1, 0
Let d(f) be the first derivative of f**6/15 - 12*f**5/25 + 4*f**4/5 + 4*f**3/5 - 9*f**2/5 + 67. Determine u, given that d(u) = 0.
-1, 0, 1, 3
Let z(w) = 372*w - 9. Let q be z(3). Let y = q + -12169/11. Factor 0 + 2/11*m**4 + 10/11*m**3 + y*m + 16/11*m**2.
2*m*(m + 1)*(m + 2)**2/11
Determine c so that 1/5*c**5 + 16/5 - 36/5*c + c**3 + 4*c**2 - 6/5*c**4 = 0.
-2, 1, 2, 4
Factor 22/3*k**2 + 7/3*k**4 + 13/3*k + 1 + 6*k**3 + 1/3*k**5.
(k + 1)**4*(k + 3)/3
Let c = 7980 - 7977. Determine a so that -57*a**c - 45*a**4 - 4/5*a + 0 - 64/5*a**2 = 0.
-1, -2/15, 0
Factor 4/17 + 6/17*a + 2/17*a**2.
2*(a + 1)*(a + 2)/17
Let g(a) be the third derivative of a**6/1080 + 2*a**5/135 - a**4/216 - 4*a**3/27 + 19*a**2 - 4. Factor g(h).
(h - 1)*(h + 1)*(h + 8)/9
Let z(k) be the second derivative of -3*k**5/35 + 6*k**4/7 - 3*k**3/2 + 15*k**2/14 + 201*k. Factor z(x).
-3*(x - 5)*(2*x - 1)**2/7
Let t(r) be the first derivative of r**6/30 + 2*r**5/25 - r**4/5 - 8*r**3/15 + 50. Solve t(v) = 0 for v.
-2, 0, 2
Let q(s) be the second derivative of -5*s**4/12 - 10*s**3/3 + 25*s**2/2 + s + 30. Determine w so that q(w) = 0.
-5, 1
Let u(o) = -5*o**4 + 13*o**3 + 17*o**2 - 31*o - 32. Let a(i) = 10*i**4 - 25*i**3 - 35*i**2 + 60*i + 65. Let k(g) = 2*a(g) + 5*u(g). Let k(h) = 0. What is h?
-1, 2, 3
Suppose -6/5*n**4 + 0*n**2 + 0 + 2/5*n**3 + 0*n = 0. What is n?
0, 1/3
Factor -2/9*y - 4/3*y**2 + 2/9*y**3 + 4/3.
2*(y - 6)*(y - 1)*(y + 1)/9
Let n = 15 + -11. Suppose 8 = -4*r + 3*q + 28, -n*r + 24 = -4*q. Suppose -5*c**2 + 0*c + 4*c - 2*c + 7*c**r = 0. Calculate c.
-1, 0
Factor -85 + 137*j + 2*j**4 - 7*j**4 + 185 + 85*j**2 + 43*j.
-5*(j - 5)*(j + 1)*(j + 2)**2
Let g be (-40)/(-120) + ((-22)/3)/(-2). Factor 8 + x - g*x**2 + 3*x + 0*x**2.
-4*(x - 2)*(x + 1)
Factor w - 1764*w**3 - 87*w - 63*w**4 + 1212*w**4 - 22*w + 756*w**2 + 223*w**4.
4*w*(7*w - 3)**3
Suppose k = 10*k + 9. Let y be (2 + k)/((-49)/(-14) - 1). Factor 0*w - y*w**3 + 8/5*w**2 + 0.
-2*w**2*(w - 4)/5
Suppose -t = 4*x + 3, -4*x + 9*x - 4*t = 12. Suppose g**4 - 4*g**3 + x*g**3 - 3*g**4 - g**2 + 3*g**4 + 4*g = 0. Calculate g.
-1, 0, 1, 4
Let p(u) be the first derivative of -u**6/840 - u**5/210 + u**4/168 + u**3/21 - 4*u**2 + 2*u - 22. Let s(g) be the second derivative of p(g). Factor s(d).
-(d - 1)*(d + 1)*(d + 2)/7
Let g be (1876/(-126) + 15 - 8/18) + 1. Find c, given that -g*c**3 + 2/3 + 2/3*c - 2/3*c**2 = 0.
-1, 1
Factor -29*k - 1 - 2*k**3 + 3*k**3 + 32*k - 3*k**2.
(k - 1)**3
Let l(p) = 5*p**2 + 8*p - 54. Let m(v) = -5*v**2 - 7*v + 56. Let n(u) = 2*l(u) + 3*m(u). Find q, given that n(q) = 0.
-4, 3
Let t(p) be the first derivative of -p**5 - 35*p**4/2 + 5*p**3 + 1350*p**2 + 4860*p + 548. Suppose t(q) = 0. Calculate q.
-9, -2, 6
Let d = 10059/110891 + 2/10081. Factor -2/11*u**3 + d*u + 1/11*u**2 + 0.
-u*(u - 1)*(2*u + 1)/11
Suppose 4*j - w - 9 = 0, -1 = -j + 3*j + 5*w. Find c, given that 2 - c**2 + 3*c**2 - 3*c + 0*c**j - c**2 = 0.
1, 2
Let r(l) = 5*l**2 + 13*l - 20. Let m(a) = -a**2 + a + 1. Let k(x) = 2*m(x) + r(x). Solve k(h) = 0.
-6, 1
Solve -4*g**2 - 11*g**2 + 2*g + g + 18*g**2 = 0.
-1, 0
Factor 9*l**2 + 12*l**3 - 4021*l + 3*l**4 + 4021*l.
3*l**2*(l + 1)*(l + 3)
Determine t, given that -2/11*t**3 + 40/11*t**2 - 194/11*t + 156/11 = 0.
1, 6, 13
Factor 0*g - 4*g**2 + 0 - 2/5*g**4 - 22/5*g**3.
-2*g**2*(g + 1)*(g + 10)/5
Let 4/3*t**4 - 4/3*t**3 + 4/3 - 8/3*t**2 + 2/3*t + 2/3*t**5 = 0. What is t?
-2, -1, 1
Let m(y) = -y + 0 + 5 + y**2 - 4 - 2. Let z(b) = 3*b**2 + 3*b + 2. Let c(x) = 2*m(x) - z(x). Factor c(i).
-(i + 1)*(i + 4)
Factor 0*s - 2/11*s**3 + 328/11*s**2 + 0.
-2*s**2*(s - 164)/11
Let d(m) be the second derivative of m**5/100 - m**4/10 + 2*m**3/5 - 5*m**2/2 - 10*m. Let w(g) be the first derivative of d(g). Factor w(x).
3*(x - 2)**2/5
What is j in -28/15*j**4 + 2/15*j**5 + 28/15*j**3 + 108/5 + 246/5*j + 472/15*j**2 = 0?
-2, -1, 9
Let v(d) be the second derivative of d**5/20 + 11*d**4/16 + d**3/3 - 7*d + 4. Factor v(q).
q*(q + 8)*(4*q + 1)/4
Let g(u) = 28*u**3 - 66*u**2 - 41*u. Let h(x) = 15*x**3 - 33*x**2 - 22*x. Let m(z) = 4*g(z) - 7*h(z). Factor m(t).
t*(t - 5)*(7*t + 2)
Let q(p) = 441*p - 882. Let r be q(2). Factor 6/7*o**3 + 0*o**2 + r + 0*o + 4/7*o**4 - 2/7*o**5.
-2*o**3*(o - 3)*(o + 1)/7
Let b(m) be the third derivative of m**5/140 + m**4/21 + 2*m**3/21 + 55*m**2. Factor b(u).
(u + 2)*(3*u + 2)/7
Let f = -44 - 28. Let s = -68 - f. Factor 18/5*c**3 + 36/5*c + 39/5*c**2 + 12/5 + 3/5*c**s.
3*(c + 1)**2*(c + 2)**2/5
Let h(d) = -11*d + 98. Let s be h(8). Let i(y) be the third derivative of 0 - s*y**2 - 1/100*y**5 + 0*y - 1/40*y**4 - 1/30*y**3 - 1/600*y**6. Factor i(l).
-(l + 1)**3/5
Let i(o) = -7*o**4 - o**3 - 9*o**2 + 5. Let z(k) = 6*k**4 + 2*k**3 + 8*k**2 - 4. Let a(x) = -4*i(x) - 5*z(x). Determine f, given that a(f) = 0.
-2, -1, 0
Let d(n) be the first derivative of -18/5*n + 3 - 7/5*n**3 - 69/10*n**2. Let d(j) = 0. What is j?
-3, -2/7
Suppose -5*d = -9*d + 8. Let -10*y**3 - y**5 + 0 - 15*y**4 + 4*y**d + 5 - 4*y**5 + 6*y**2 + 15*y = 0. Calculate y.
-1, 1
Let r be -5 + (-8 + 172/14 - -3). Determine w, given that 16/7*w**3 + 4/7*w**4 - r*w + 8/7*w**2 - 12/7 = 0.
-3, -1, 1
Solve 4/5*w**3 - 6/5*w**4 + 0 - 16/5*w + 24/5*w**2 = 0.
-2, 0, 2/3, 2
Factor 18*c**2 - 2*c**2 + 4*c**2 - 7*c**2 + c**3.
c**2*(c + 13)
Let t = 627/524 - -7/131. Let a(