e of -14 - 3/16*y**4 + 0*y + 1/2*y**3 + 9/8*y**2. Factor a(c).
-3*c*(c - 3)*(c + 1)/4
Let l(s) be the third derivative of s**8/16800 + s**4/2 + 10*s**2. Let p(v) be the second derivative of l(v). Suppose p(h) = 0. Calculate h.
0
Let q(j) = 9*j + 9. Let z(h) = h**2 - h - 1. Let m(y) = -4*y**2 + 24*y + 23. Let a(d) = m(d) + 5*z(d). Let o(k) = -3*a(k) + 5*q(k). Factor o(f).
-3*(f + 1)*(f + 3)
Suppose -5*t = -2*g - 3 - 5, 5*g = 4*t - 3. Let u(o) = -o**2 + o - 1. Let f(y) = 4*y**4 - 14*y**2 + 10*y - 10. Let r(h) = g*f(h) - 10*u(h). Factor r(s).
4*s**2*(s - 1)*(s + 1)
Let b = 3544/3 - 1261. Let p = -79 - b. What is j in 2/3*j**4 + p*j + 0 - 2/3*j**3 - 2/3*j**2 = 0?
-1, 0, 1
Let x be (-6)/(-44)*(-4)/(-3). Let f = 4573/55 + -413/5. Factor f*j + 0 + x*j**2.
2*j*(j + 3)/11
Let m(i) = -6*i - 3. Let u be m(-1). Suppose -2*y + 3 = u*p, 0 = p + 2*y + 2 + 1. Suppose -1/2*x + 2*x**5 - 5/2*x**2 - 3/2*x**p + 5/2*x**4 + 0 = 0. Calculate x.
-1, -1/4, 0, 1
Let p(y) be the first derivative of -4*y + 19/3*y**3 - 28 - 31/2*y**4 + 25/3*y**6 - 3*y**5 + 6*y**2. Determine v so that p(v) = 0.
-1, -1/2, 2/5, 1
Let w(u) be the third derivative of -u**6/72 - u**5/8 + 5*u**4/6 - 25*u**3/6 + 21*u**2. Let n(b) be the first derivative of w(b). Factor n(j).
-5*(j - 1)*(j + 4)
Let f = 172261/180 - 957. Let t(j) be the third derivative of 0 + 0*j + 2/27*j**3 + 11*j**2 - 1/1080*j**6 + 0*j**4 - f*j**5. Factor t(w).
-(w - 1)*(w + 2)**2/9
Let z(g) = -g**3 - 5*g**2 + g - 10. Let x be z(-6). Factor c**4 + c - 20 - c**2 + x - c**3.
c*(c - 1)**2*(c + 1)
Factor 0 + 1/3*b**2 - 1/9*b**3 - 2/9*b.
-b*(b - 2)*(b - 1)/9
Let b(g) be the second derivative of 0 - 4*g + 0*g**2 + 1/14*g**7 - 1/10*g**5 - 2/15*g**6 + 1/3*g**4 - 1/6*g**3. Factor b(q).
q*(q - 1)**2*(q + 1)*(3*q - 1)
Let l(c) = 2*c**2 - c - 1. Let w be l(-3). Suppose 2*d - w = -3*d. Let 4*p**d - 4*p + 6*p**3 + 3*p - 6*p**5 + 2*p**5 - 3*p**3 - 2*p**2 = 0. What is p?
-1/2, 0, 1
Let o(f) = -3*f**2 - 2 + 2*f - f**2 + 4. Let r(h) = -9*h**2 + 3*h + 5. Let m(l) = -5*o(l) + 2*r(l). Suppose m(p) = 0. What is p?
0, 2
Let m(l) be the first derivative of l**6/480 + l**5/20 - 13*l**3 - 2. Let i(q) be the third derivative of m(q). Factor i(x).
3*x*(x + 8)/4
Factor -18/5*l + 24/5 - 9/5*l**2 + 3/5*l**3.
3*(l - 4)*(l - 1)*(l + 2)/5
Let c(s) be the first derivative of -s**5/5 + 4*s**3/3 - 16. Determine v so that c(v) = 0.
-2, 0, 2
Factor -27*c - 3/4*c**2 - 243.
-3*(c + 18)**2/4
Let g = 19 - 8. Let q = -8 + g. Determine x so that -15*x**2 - 4*x**3 - 25*x - 6*x**2 - q*x**2 + 4*x**2 = 0.
-5/2, 0
Let x(r) = -r**2 + 38*r - 70. Let a be x(36). Let l(k) = k - 1. Let o be l(6). Factor 2*y**3 - a - o*y + y**4 + 3*y + 1.
(y - 1)*(y + 1)**3
Suppose -3*z - 3 = -5*v + 12, 2*v = -5*z - 25. Factor 26*f**2 - 16*f**2 + v*f**3 + f**3 - 9*f**2.
f**2*(f + 1)
Suppose 6*z = -3*z. Let t(c) be the second derivative of z*c**3 - 1/6*c**4 + 0 + 4*c + c**2. Find k such that t(k) = 0.
-1, 1
Find q such that 6*q**4 - 47*q**4 - 3*q**4 - 180*q**3 - 216*q - 324*q**2 - 7*q**5 + 3*q**5 = 0.
-3, -2, 0
Solve 58/5*p**2 + 0 + 16*p**3 - 6/5*p**4 - 28/5*p = 0.
-1, 0, 1/3, 14
Let q be 9 + -20 + 8 - -3. Let w(z) be the second derivative of 0*z**2 + q - 3/40*z**5 + 7*z + 1/60*z**6 + 1/12*z**4 + 0*z**3. Factor w(k).
k**2*(k - 2)*(k - 1)/2
Let -24/11*x - 2/11*x**3 - 12/11*x**2 - 16/11 = 0. Calculate x.
-2
Let a = -1611 - -1616. Find t such that -16/5*t**a + t**2 + t - 5*t**3 - 8*t**4 - 1/5 = 0.
-1, 1/4
Let y(c) be the second derivative of c**4/78 + 83*c**3/39 - 84*c**2/13 - 7*c - 56. Factor y(s).
2*(s - 1)*(s + 84)/13
Let n be 8/1 + 0 + -5. Suppose f + 2*f - 2*r - 26 = 0, -5*f + 18 = n*r. Suppose 14*q**4 - f*q**3 + 0 - 8/7*q - 48/7*q**2 = 0. Calculate q.
-2/7, 0, 1
Factor 1/2*u**2 + 4 - 3*u.
(u - 4)*(u - 2)/2
Let o = 0 + 5. Factor m**2 + m**2 + 3*m**2 - o*m.
5*m*(m - 1)
Let l = 42166/75475 + 4/3019. Factor 0 + 18/25*d**3 + 4/25*d + 2/25*d**5 - 2/5*d**4 - l*d**2.
2*d*(d - 2)*(d - 1)**3/25
Let l(w) be the first derivative of w**6/24 + w**5/5 - w**4/8 - 2*w**3/3 + w**2/8 + w - 102. What is s in l(s) = 0?
-4, -1, 1
Factor 16 + 450/7*k + 8/7*k**2.
2*(k + 56)*(4*k + 1)/7
Let g be 4 - 3 - (-3 + 4). Suppose g = 9*n - 5*n - 12. Let -2/5*b**2 + 2/5*b - 2/5*b**n + 2/5 = 0. Calculate b.
-1, 1
Let x be 22 + (-2 - 0) + -2. Suppose -2 = 4*q + x. Let f(a) = -6*a**2 - 7*a + 4. Let h(s) = 5*s**2 + 6*s - 3. Let b(u) = q*h(u) - 4*f(u). Factor b(z).
-(z + 1)**2
Let r(c) be the second derivative of -c**6/480 - c**5/240 + 5*c**2/2 + 8*c. Let i(h) be the first derivative of r(h). Factor i(q).
-q**2*(q + 1)/4
Let b(h) be the second derivative of 5*h**4/12 + 110*h**3 + 10890*h**2 + 15*h - 4. Factor b(f).
5*(f + 66)**2
Let x(d) be the third derivative of d**7/2100 - d**6/300 + d**5/150 - 7*d**3/6 - 5*d**2. Let p(t) be the first derivative of x(t). Factor p(o).
2*o*(o - 2)*(o - 1)/5
Let h(l) be the first derivative of -2*l**5/15 - l**4/3 + 2*l**3/9 + 2*l**2/3 - 32. Find d, given that h(d) = 0.
-2, -1, 0, 1
Let l(v) = 7*v**2 + 175*v - 8. Let z(h) = -h**2 + 2*h + 2. Let g(x) = l(x) + 4*z(x). Let g(q) = 0. Calculate q.
-61, 0
Let v(t) be the second derivative of t**5/360 - t**4/72 - t**3/12 + 29*t**2/2 + 21*t. Let o(z) be the first derivative of v(z). Factor o(g).
(g - 3)*(g + 1)/6
Let x(t) be the third derivative of t**5/12 - 5*t**4/24 - 5*t**3/3 + 55*t**2. Determine y, given that x(y) = 0.
-1, 2
Let l(x) be the second derivative of -x**7/2940 - x**6/630 + x**5/140 + 13*x**3/3 + 32*x. Let t(d) be the second derivative of l(d). Factor t(v).
-2*v*(v - 1)*(v + 3)/7
Let k(g) = 10*g**2 + 3*g - 5. Let b(a) = 7*a**2 + 2*a - 3. Let f(y) = 7*b(y) - 5*k(y). Let u(s) = -5*s**2 - 5*s + 21. Let x(q) = -33*f(q) + 6*u(q). Factor x(d).
3*(d - 1)*(d + 2)
Let s(b) be the second derivative of 10*b**2 + 0 - 1/5*b**5 + 6*b**3 + b**4 - 8*b. Factor s(o).
-4*(o - 5)*(o + 1)**2
Let v(o) be the first derivative of o**4/102 - o**3/51 - 13*o + 16. Let c(b) be the first derivative of v(b). Factor c(s).
2*s*(s - 1)/17
Let a be (-2 - (2 + -4))*1. Let k(j) be the first derivative of 0 - j + 2*j**2 - 5 + a*j**2 - 2*j**3 + j**3. Factor k(z).
-(z - 1)*(3*z - 1)
Let -48*t - 1/4*t**3 + 128 - 15/2*t**2 = 0. Calculate t.
-16, 2
Let s(y) = 2*y**2 + 13*y - 15. Let g(m) = -5*m**2 - 25*m + 30. Let v(x) = -6*g(x) - 14*s(x). Determine d so that v(d) = 0.
1, 15
Let w(a) be the second derivative of -1/42*a**3 - 1/7*a**2 + 0 - 5*a + 1/140*a**5 + 1/42*a**4. Find v such that w(v) = 0.
-2, -1, 1
Determine c, given that -1/8*c**2 + 37/8*c + 0 = 0.
0, 37
Let g(o) = o**2 - o - 1. Let u(y) be the first derivative of -y**4/4 - y**3 + y + 1. Let f = 11 - 13. Let d(j) = f*u(j) - 2*g(j). Determine m so that d(m) = 0.
-1, 0
Determine j, given that 96/7*j - 2/7*j**2 - 94/7 = 0.
1, 47
Let w = 19 + -17. Let g(c) be the first derivative of c**w + c**2 - c**4 + 0*c**4 + 11. Factor g(l).
-4*l*(l - 1)*(l + 1)
Let z(v) be the first derivative of 4*v**3/3 + 58*v**2/3 + 24*v - 33. Determine x, given that z(x) = 0.
-9, -2/3
Suppose j - 6 = -s - 7, -5*j - 5 = -5*s. Factor s + 4/7*t**3 + 8/7*t**2 - 12/7*t.
4*t*(t - 1)*(t + 3)/7
Let s(q) = -8*q**2 - 26*q - 25. Let o = 115 + -91. Let p(j) = -39*j**2 - 129*j - 126. Let u(b) = o*s(b) - 5*p(b). Suppose u(v) = 0. Calculate v.
-5, -2
Let c(j) = -j**3 + 9*j**2 - 11*j + 26. Let z be c(8). Factor 11*l**5 - 11*l**2 + 15*l + l**z - 20*l**3 + 10 - 6*l**5.
5*(l - 2)*(l - 1)*(l + 1)**3
Let t(m) = -2*m**3 + 51*m**2 - 34*m + 225. Let f be t(25). Let 2/5*s**5 + 6/5*s**3 - 8/5*s + f - 2*s**2 + 2*s**4 = 0. Calculate s.
-4, -1, 0, 1
Let k(v) = v**2 + v - 1. Let p(u) = -u**3 + 15*u**2 - 2*u. Let r(h) = -5*k(h) + p(h). Let b be r(9). Factor 0*g**2 - 6*g**4 - 21*g**5 + 8*g**2 + b*g**5.
2*g**2*(g - 2)**2*(g + 1)
Let u(q) be the first derivative of 0*q + 4/5*q**3 + 3/10*q**4 + 12 - 3/25*q**5 - 12/5*q**2. Solve u(v) = 0.
-2, 0, 2
Let k(c) be the third derivative of 2*c**7/105 + 7*c**6/90 + c**5/15 - c**4/6 - 8*c**3/3 - 16*c**2. Let p(z) be the first derivative of k(z). Factor p(f).
4*(f + 1)**2*(4*f - 1)
Factor -a**3 + 1141*a**4 - 104*a**3 - 1186*a**4 - 55*a**2 + 5*a**5.
5*a**2*(a - 11)*(a + 1)**2
Let v be 1/((-1)/11 - (-182)/429). Let h(y) be the first derivative of -1/4*y**4 - y**v - 1 + 0*y - y**2. Factor h(z).
-z*(z + 1)*(z + 2)
Let n(s) be the third derivative of -s**8/