rivative of 13 - 4/15*c**3 - 4/5*c**2 - 4/5*c. Let a(k) = 0. Calculate k.
-1
Let l(g) be the second derivative of -g**4/66 - 86*g**3/33 - 1849*g**2/11 - 8*g - 1. Solve l(v) = 0.
-43
Let d(r) be the first derivative of -r**6/480 + r**5/16 - 21*r**4/32 + 49*r**3/24 + 23*r**2/2 + 26. Let w(i) be the second derivative of d(i). Factor w(c).
-(c - 7)**2*(c - 1)/4
Suppose -57 = -37*i + 18*i. Determine z, given that 6/13*z**2 + 0 - 2/13*z - 4/13*z**i = 0.
0, 1/2, 1
Suppose 0 = -658*n + 119*n + 1617. Find y such that -5/6*y**2 - 7/6*y + 2/3*y**n + 1/3 = 0.
-1, 1/4, 2
Let v(d) = -5*d**2 - 32*d - 47. Let r(m) = 135*m**2 + 865*m + 1270. Let u = 39 + 16. Let h(j) = u*v(j) + 2*r(j). Factor h(n).
-5*(n + 3)**2
Let k(j) be the third derivative of -j**7/4200 + j**5/600 + 17*j**3/6 + 20*j**2. Let m(z) be the first derivative of k(z). Factor m(l).
-l*(l - 1)*(l + 1)/5
Let z be (-144)/(-21) + (-2)/(-14). Suppose 15 = -2*g + z*g. Factor r**g + 3 + 2*r**2 - 3.
r**2*(r + 2)
Suppose -1222*q**4 - 4*q - 8 + 7*q**3 + 10*q**5 + 1222*q**4 + 2*q**2 - 11*q**5 - 8*q = 0. Calculate q.
-2, -1, 2
Let x(g) be the second derivative of -g**6/210 + 2*g**5/105 - g**4/42 - 6*g**2 + 4*g. Let l(s) be the first derivative of x(s). Factor l(n).
-4*n*(n - 1)**2/7
Let p = -1/72 + 581/360. Factor -p*j + 2/5*j**2 + 6/5.
2*(j - 3)*(j - 1)/5
Find u, given that -3/2*u**2 + 84 - 3/2*u = 0.
-8, 7
Let s be (13 - 13)/(-10*2/(-4)). Find o, given that -2/5*o**2 + s*o + 6/5*o**3 + 0 + 8/5*o**4 = 0.
-1, 0, 1/4
Factor 24*y**2 - 9*y**2 - 4*y**2 - 10*y**2 - 118*y + 1925 + 1556.
(y - 59)**2
Factor 7*m**2 - 1162*m**4 + 39*m**2 + 24 + 1164*m**4 + 56*m + 16*m**3.
2*(m + 1)*(m + 2)**2*(m + 3)
Let p(d) = -2*d**4 + 8*d**3 - 13*d**2 + 7*d - 6. Let k(l) = -4*l**4 + 16*l**3 - 27*l**2 + 15*l - 14. Let z(w) = 3*k(w) - 7*p(w). Factor z(q).
2*q*(q - 2)*(q - 1)**2
Let u be (1 + -2)/((-50)/80). Find y such that 2/5*y**2 - u + 6/5*y = 0.
-4, 1
Let d(s) be the third derivative of 7*s**5/60 - s**3/3 + 13*s**2. Let f(h) = -22*h**2 + 6. Let p(n) = 16*d(n) + 5*f(n). Factor p(i).
2*(i - 1)*(i + 1)
Let s = 773/840 + 43/210. Determine g, given that -3 + s*g**2 - 33/4*g**3 + 15/8*g**4 + 33/4*g = 0.
-1, 2/5, 1, 4
Let i(x) = -x**3 - 29*x**2 + 4. Let p be i(-29). Let l(d) be the third derivative of 0*d**3 + 1/4*d**p - 1/20*d**5 + 0*d + 0 + 4*d**2. Solve l(m) = 0 for m.
0, 2
Let i(v) be the second derivative of -v**5/40 - 5*v**4/12 + 71*v**3/12 - 15*v**2 + 233*v. Solve i(t) = 0 for t.
-15, 1, 4
Let s(n) be the second derivative of 0 - 1/33*n**3 + 0*n**4 + 2*n + 5*n**2 + 1/330*n**5. Let b(x) be the first derivative of s(x). Factor b(y).
2*(y - 1)*(y + 1)/11
Suppose 0 = -3*h + 5*o - 15, -4*o = h - 9 - 3. Let i(w) be the third derivative of 0*w + h + 0*w**3 + 1/90*w**5 - 1/18*w**4 + w**2. Solve i(z) = 0.
0, 2
Find u such that 0*u - 3/7*u**4 + 0 + 0*u**3 + 3/7*u**2 = 0.
-1, 0, 1
Let f be (-4169)/(-286) + -13 - (-1)/(-13). Let o be (-1)/(4/6 - 1). Determine j, given that 0 + 9/2*j**3 - f*j**5 - 3/2*j**2 + 3/2*j**4 - o*j = 0.
-1, 0, 1, 2
Let d(t) = 3*t**3 + 18*t**2 - 58*t + 4. Let u(x) = 2*x**3 + 17*x**2 - 57*x + 6. Let b(i) = -3*d(i) + 2*u(i). Determine y, given that b(y) = 0.
-6, 0, 2
Let u(p) = 3*p + 1. Let j be u(1). Suppose 20*h - 2*h**j + 12*h**3 + 80 + 3*h - 24*h**2 - 3*h - 86 = 0. Calculate h.
1, 3
Let i(u) be the second derivative of u**5/35 - 2*u**4/21 - 2*u**3/21 + 4*u**2/7 + u - 46. Determine a, given that i(a) = 0.
-1, 1, 2
Factor -136 + 60*x**2 + 4*x + 10*x**3 + 12*x**2 + 9*x**2 - 14*x**3 + 55*x**2.
-4*(x - 34)*(x - 1)*(x + 1)
Let b be 30/20*(-48)/(-396). Let w(o) = o - 2. Let c be w(5). Factor -2/11*p**c - 6/11*p + b + 6/11*p**2.
-2*(p - 1)**3/11
Let s be (57/171)/(5 + (-176)/36). Suppose -16/13*h - 10/13*h**2 - 2/13*h**s - 8/13 = 0. Calculate h.
-2, -1
Suppose 15 = 3*h - 3*l, 2*l - 7 + 2 = -3*h. Suppose s + 2 = m, h*s = -s + 2*m + 2. Factor s - 3/2*d**2 + 3/2*d.
-3*(d - 2)*(d + 1)/2
Let v(p) = -21*p - 101. Let m be v(-5). Factor 1/4 + 1/2*h**3 - 1/2*h - 1/4*h**m + 0*h**2.
-(h - 1)**3*(h + 1)/4
Let b(p) = 6*p**4 - 98*p**3 + 162*p**2 - 50*p + 20. Let n(d) = d**4 - d**3 - d**2 - d - 2. Let u(y) = b(y) + 10*n(y). Factor u(h).
4*h*(h - 5)*(h - 1)*(4*h - 3)
Factor -24/5*d**4 - 24/5 - 15*d**3 - 3/5*d**5 - 84/5*d - 114/5*d**2.
-3*(d + 1)**2*(d + 2)**3/5
Let k = -271/60 + 133/20. Let w(r) be the first derivative of 16/5*r**4 - k*r**3 + 2/5*r**2 - 5 + 0*r. Factor w(f).
4*f*(4*f - 1)**2/5
Let t(l) = -2*l**3 + 164*l + 314. Let k be t(-2). Let -k*g + 5/4*g**3 + 0 - 1/2*g**2 - 1/4*g**4 = 0. Calculate g.
-1, 0, 2, 4
Let k(j) be the first derivative of j**8/1680 - 3*j**7/1960 + j**6/1260 - 2*j**3/3 - 5. Let a(u) be the third derivative of k(u). Factor a(o).
o**2*(o - 1)*(7*o - 2)/7
Let g be 6*(0 - 2/(-4)). Let k = -482 + 486. Factor 3/2*a**5 + 0 - 4*a**k + 0*a + 7/2*a**g - a**2.
a**2*(a - 1)**2*(3*a - 2)/2
Let f(s) be the first derivative of 13 + 8/7*s - 1/14*s**4 + 0*s**2 - 2/7*s**3. Find p, given that f(p) = 0.
-2, 1
Let y(t) = t**2 + 1. Suppose 34 = 5*u + 14. Let n(s) = -20*s**2 + 40*s - 29. Let l(q) = u*y(q) + n(q). Let l(r) = 0. What is r?
5/4
Let u be (-13)/(-4) - (-24)/32. Let n(k) be the first derivative of -8/25*k**5 - 6/5*k**u - 8/5*k + 16/15*k**3 + 6/5*k**2 + 2/5*k**6 + 9. Solve n(h) = 0 for h.
-1, 2/3, 1
Suppose 3*u + 4*r + 7 = 0, -2*r = -5*u - 3 - 0. Let j be 3/(4/(3 - u)). Factor -5 - 6 + 5*t**2 + 4*t**j + 9 - 7*t.
(t - 1)*(t + 2)*(4*t + 1)
Let s(u) = -3*u - 11. Let g(t) = -5*t. Let y be g(1). Let x be s(y). Factor -4*d**5 - 16*d**2 - 7*d**4 - 24*d**3 + 0*d - x*d - 9*d**4 + 0*d.
-4*d*(d + 1)**4
Let j(k) = -k**2 - 8*k + 5. Let x(i) = -3*i + 3. Let b(d) = -3*j(d) + 5*x(d). Factor b(p).
3*p*(p + 3)
Let r be 2/(-7) - (-955)/35. Let k = r + -11. Factor -2*v - 13*v + 48*v**2 - 5*v**3 + 3*v - k*v**3.
-3*v*(v - 2)*(7*v - 2)
Suppose 0 = -8*g + 4*g + 12. Suppose -2*l + g = -0*l + i, 2*l + 2*i = 0. Factor -j + 5*j**3 - 2*j**3 - j**3 - j**2 + 0*j**l.
j*(j - 1)*(2*j + 1)
Let m(s) be the first derivative of s**6/6 + 9*s**5/5 + s**4/4 - 19*s**3 - s**2 + 48*s + 625. Suppose m(u) = 0. What is u?
-8, -3, -1, 1, 2
Suppose -90*t + 86*t + 5 = -p, 2*t - 16 = -4*p. Factor 0 + 4/7*g**2 + 0*g + t*g**3 - 18/7*g**4.
-2*g**2*(g - 1)*(9*g + 2)/7
Let o(a) = 34*a**2 - 20*a - 14. Let q(w) = 171*w**2 - 99*w - 72. Let g(t) = -11*o(t) + 2*q(t). Factor g(l).
-2*(l - 1)*(16*l + 5)
Let u(n) be the first derivative of -n**6/3240 + n**5/540 - 32*n**3/3 + 26. Let r(w) be the third derivative of u(w). Suppose r(s) = 0. What is s?
0, 2
Let d(b) be the first derivative of b**8/6720 + 16*b**3/3 + 5. Let s(h) be the third derivative of d(h). Factor s(m).
m**4/4
Let 43*k**2 - 154*k**3 + 38 - 13*k**2 - 91 + 5 + 172*k = 0. What is k?
-12/11, 2/7, 1
Let w(u) be the third derivative of -u**8/2016 - u**7/420 + u**6/144 + u**5/120 - u**4/36 + 13*u**2 + 4*u. Solve w(o) = 0 for o.
-4, -1, 0, 1
Suppose 0 = 50*l + 72 - 222. Let s(m) be the second derivative of -1/6*m**2 - 1/36*m**4 + 5*m + 1/9*m**l + 0. Solve s(q) = 0 for q.
1
Let x(p) = p**2 + 34*p - 68. Let s be x(-36). Suppose s*t = 115 - 107. Factor 0*r - 3/4*r**t + 3.
-3*(r - 2)*(r + 2)/4
Suppose -491*f = -559*f. Factor 0*q**2 + 0*q - 2/3*q**4 + f - 2*q**3.
-2*q**3*(q + 3)/3
Let a(m) be the first derivative of m**6/39 - 58*m**5/13 + 4205*m**4/13 - 487780*m**3/39 + 3536405*m**2/13 - 41022298*m/13 + 13. Factor a(u).
2*(u - 29)**5/13
Let r(u) = 19*u - 399. Let f be r(21). Let x(y) be the second derivative of 0*y**3 - 1/2*y**2 - 3*y + f + 1/12*y**4. Factor x(n).
(n - 1)*(n + 1)
Let s = 32 - 10. Let j = s + -6. Let -4*z**3 - 8*z + 20*z**2 - 22*z + 8*z + j - 10*z = 0. Calculate z.
1, 2
Let a(u) be the third derivative of -u**7/2100 - u**6/400 + u**5/100 + u**4/30 + 194*u**2. Factor a(i).
-i*(i - 2)*(i + 1)*(i + 4)/10
Suppose s + 5*s = 24. Let x be (-58)/(-29) + s/((-4)/(-2)). Factor -16/3*k**2 + 0 - 4*k**x + 0*k + 8*k**3 + 2/3*k**5.
2*k**2*(k - 2)**3/3
Solve 93*j - 3*j**3 + 2201672*j**2 - 2201672*j**2 + 90 = 0 for j.
-5, -1, 6
Suppose 0 = 4*r + 34 - 38, 3*c - 4*r = 11. Let h(x) be the first derivative of -1/10*x**5 + 0*x + 1/8*x**4 - c + 1/6*x**3 - 1/4*x**2. Factor h(l).
-l*(l - 1)**2*(l + 1)/2
Let c(y) = 2*y**5 - y**4 + y**3 + y + 1. Let q(z) = -25*z**5 + 25*z**4 - 20*z**3 - 10*z - 10. Let p(v) = -10*c(v) - q(v). Let p(h) = 0. 