*q + 3. Let i be x(0). Factor i*z**3 + 3 + z**3 - 8*z - 3 - m*z**2.
4*z*(z - 2)*(z + 1)
Let x(a) be the third derivative of -a**6/280 - a**5/20 + a**4/56 + a**3/2 + 505*a**2. Factor x(d).
-3*(d - 1)*(d + 1)*(d + 7)/7
Let d = 20686/16809 - -2/16809. Factor 2/13*a**2 - d*a + 32/13.
2*(a - 4)**2/13
Let x(c) = 8*c**3 - 4*c**2 + 2*c. Let f be x(1). Let l(u) = -u**2 - 7*u - 7. Let h be l(-5). Factor 7*k**2 + 3*k**4 + 4*k**5 + 3*k**h - 3*k**5 - f*k**2.
k**2*(k + 1)**3
Suppose 0 = -4*w - 5*f - 2, -4*w + 4*f = -0*w - 16. Suppose -96*i - 4 = -98*i. Factor 1/3*p**3 + i*p**w + 0 + 3*p.
p*(p + 3)**2/3
Let q(n) = 2*n**2 - n - 1. Let d(h) = -10*h**2 + 14*h - 4. Let p(f) = -d(f) - 4*q(f). Let p(m) = 0. Calculate m.
1, 4
Let m(z) be the second derivative of -z**7/28980 + z**5/345 - z**4/2 + 9*z. Let c(y) be the third derivative of m(y). Factor c(f).
-2*(f - 2)*(f + 2)/23
Let q(o) = -o**2 + o + 2. Let t(v) = -2*v**2 + v + 3. Let j(l) = 5*q(l) - 2*t(l). Factor j(f).
-(f - 4)*(f + 1)
Let n(f) = f**2 - f - 27. Let p be n(6). Find d such that 1/10*d**2 - 1/10 + 1/10*d - 1/10*d**p = 0.
-1, 1
Let b(x) be the first derivative of 6*x**2 - 36*x - 2 - 1/3*x**3. Factor b(h).
-(h - 6)**2
Suppose 23*a + 187 = 256. Factor -h**2 + h**a + 1/2*h**4 - 1/2*h - 1/2*h**5 + 1/2.
-(h - 1)**3*(h + 1)**2/2
Let c(j) be the second derivative of -2*j**2 + 12*j - 1/12*j**4 + 2/3*j**3 + 0. Factor c(q).
-(q - 2)**2
Let y = -55 + 93. Factor 21 - y + 17 + 10*x**2 + 12*x + 2*x**3.
2*x*(x + 2)*(x + 3)
Let h(g) be the second derivative of g**6/2700 - g**5/450 + 13*g**3/6 + g. Let i(a) be the second derivative of h(a). Solve i(w) = 0.
0, 2
Factor -1/4*y**3 - 1/2*y**2 + 3/4*y + 0.
-y*(y - 1)*(y + 3)/4
Let x = 6086 + -24343/4. Determine d so that 1/4*d**2 - 1/2 - x*d = 0.
-1, 2
Let j(z) be the second derivative of -z**4/12 + z**3/2 - z**2 - 178*z. Factor j(h).
-(h - 2)*(h - 1)
Let i(l) be the second derivative of l**7/294 - l**6/210 - 3*l**5/140 + l**4/84 + l**3/21 - 26*l. Factor i(m).
m*(m - 2)*(m - 1)*(m + 1)**2/7
Let q = -90 + 93. Factor 10 + 72*l - 7*l + 35*l**q - 130*l**2 + 7 + 13.
5*(l - 3)*(l - 1)*(7*l + 2)
Let o(w) = -w**3 + 2*w**2 - w + 1. Let y be o(2). Let t = y + 4. Factor -12*k**5 - 2*k**t + 15*k**4 + 0*k**5 - k**3 + 0*k**3.
-3*k**3*(k - 1)*(4*k - 1)
Let g(j) = -2 - 9 - 2*j + j + 2*j. Let v be g(19). Factor -3*c + 20 - 5*c**3 - 5*c**2 - v*c + 31*c.
-5*(c - 2)*(c + 1)*(c + 2)
Let i = 5 - 9. Let x(d) = -2*d - 1. Let k be x(i). Let 3*t**3 + 2*t**3 - k*t**3 = 0. Calculate t.
0
Let -880/9*f - 82/9*f**2 - 800/9 - 2/9*f**3 = 0. Calculate f.
-20, -1
Let r = 1428 - 99959/70. Let t(i) be the second derivative of -1/28*i**4 + 0 + r*i**6 - 3/70*i**5 + 0*i**2 + 1/7*i**3 + 10*i. Factor t(z).
3*z*(z - 2)*(z - 1)*(z + 1)/7
Let l be (-150)/(-280) - (-4)/(-14). Let y(v) be the first derivative of 0*v - 2 + l*v**2 - 1/12*v**3. Let y(g) = 0. What is g?
0, 2
Let g(x) be the first derivative of 0*x + 1/6*x**3 - 1/8*x**2 - 1/10*x**5 + 1/24*x**6 - 15 + 0*x**4. Factor g(v).
v*(v - 1)**3*(v + 1)/4
Let r = -1/99 + -3257/990. Let t = r + 383/110. Determine z so that t + 0*z - 2/11*z**2 = 0.
-1, 1
Let z be (14/6)/(-7) - 136/(-264). Suppose z*n**3 + 0*n + 0 - 2/11*n**2 = 0. What is n?
0, 1
Let c = -438704/9 + 48745. Factor 0 - 1/9*m**4 - 4/9*m**3 + c*m**2 + 4/9*m.
-m*(m - 1)*(m + 1)*(m + 4)/9
Suppose -5*a + 3*t + 335 = 0, -a + 4*a - 2*t - 202 = 0. Factor 12*b**2 - 7*b**2 - 4*b**2 - 16*b + a.
(b - 8)**2
Let p(c) = -2*c**2 - 50*c + 196. Suppose -13 = -2*d - 23. Let u(m) = m**2 + 51*m - 196. Let h(f) = d*p(f) - 6*u(f). Let h(q) = 0. Calculate q.
7
Factor -1/4*f**5 + 2*f**2 + 3/2*f**3 + 0 + 3/4*f + 0*f**4.
-f*(f - 3)*(f + 1)**3/4
Let t = 12 - 9. Factor -6*g - 2*g**2 + 3*g + 3*g - 2*g**t.
-2*g**2*(g + 1)
Let v(o) = 10*o + 255. Let t be v(-25). Let y(x) be the first derivative of t + 3*x**2 - 2/3*x**3 - 3/2*x**4 - 2/5*x**5 + 4*x. Suppose y(f) = 0. What is f?
-2, -1, 1
Suppose -72 + 2 = -10*d. Let i(p) be the first derivative of -2/5*p**2 - 6/25*p**5 + 1/5*p**4 - d + 8/15*p**3 - 2/5*p. Suppose i(x) = 0. Calculate x.
-1, -1/3, 1
Let h(r) be the second derivative of r**7/315 + r**6/60 + r**5/45 + r**2 + 4*r. Let s(i) be the first derivative of h(i). Solve s(a) = 0 for a.
-2, -1, 0
Let m(g) = g**3 + 10*g**2 - 9*g + 26. Let p be m(-11). Let 9*t**3 + 0*t**4 - 7*t**4 - 5*t**5 - 3*t**p + 6*t**3 = 0. What is t?
-3, 0, 1
Find o such that 17/6*o**2 + 2/3 - 7/3*o**3 + 10/3*o = 0.
-1/2, -2/7, 2
Let d = 2033 + -10163/5. Solve 2/5*b**2 + d*b - 4/5 = 0.
-2, 1
Let w(a) be the third derivative of 0 - 5/6*a**4 - 34*a**2 + 1/10*a**6 + 4/3*a**3 + 0*a - 4/15*a**5. Let w(m) = 0. Calculate m.
-1, 1/3, 2
Let j(i) be the third derivative of i**5/480 - 11*i**4/192 - 13*i**3/24 + 623*i**2. Find c such that j(c) = 0.
-2, 13
Factor -2*a**4 + 9*a**5 - 7*a**5 + 53*a**2 - 45*a**2 - 8*a**3.
2*a**2*(a - 2)*(a - 1)*(a + 2)
Let u(l) be the first derivative of -l**5/30 + l**4/18 + 5*l**3/9 + l**2 - 23*l - 15. Let r(h) be the first derivative of u(h). Suppose r(d) = 0. What is d?
-1, 3
Let k be (3 + -3)/(52 - 49). Solve k + 2/13*i**5 + 0*i + 2/13*i**4 - 8/13*i**2 - 8/13*i**3 = 0.
-2, -1, 0, 2
Let f be 60/315*(-42)/(-60). Determine m so that -f*m**2 + 0 + 2/15*m**4 + 4/15*m**3 - 4/15*m = 0.
-2, -1, 0, 1
Let c = 58 + -96. Let n = c - -51. Find b, given that 39*b**2 - n - 2 - 12*b - 15*b**3 + 2 + 1 = 0.
-2/5, 1, 2
Determine d so that -1706*d**5 - 5*d**2 - d**3 + 10*d**4 - 6*d**2 + 1703*d**5 + 5*d**2 = 0.
-2/3, 0, 1, 3
Suppose 4*k - 4*g + 8 = 4, 4*k - 4 = -4*g. Let w(m) be the second derivative of 6*m - 4/9*m**3 + 4/3*m**2 + 1/18*m**4 + k. Factor w(d).
2*(d - 2)**2/3
Let l(b) be the second derivative of b**4/48 - 11*b**3/12 + 9*b**2 + b + 3. Let l(o) = 0. Calculate o.
4, 18
Let t(w) be the second derivative of 1 + 2*w + 81/5*w**2 + 6/5*w**3 + 1/30*w**4. Solve t(n) = 0.
-9
Let m(l) = -l**2 + l. Suppose -216 = -6*w + 18*w. Let a(k) = -7*k**2 + 11*k. Let h(c) = w*m(c) + 2*a(c). What is v in h(v) = 0?
-1, 0
Let q = 47046/5 - 9409. What is d in -1/5*d + q*d**3 - 1/5*d**2 + 1/5 = 0?
-1, 1
Factor -2*h**3 + 7*h**3 + 8*h**3 - 28*h**2 - 17*h**3 - 24*h.
-4*h*(h + 1)*(h + 6)
Let a(c) = c**3 - 82*c**2 - 353*c + 776. Let t be a(86). Factor 0 + 2/5*n**t - 4/5*n.
2*n*(n - 2)/5
Let d(y) be the first derivative of 3*y**5/5 - 3*y**4/2 - 24*y**3 - 233. Factor d(u).
3*u**2*(u - 6)*(u + 4)
Let y(l) be the third derivative of -l**8/5880 + l**7/420 - l**6/210 - 25*l**3/6 - 24*l**2. Let h(w) be the first derivative of y(w). Factor h(q).
-2*q**2*(q - 6)*(q - 1)/7
Let a be 5 - ((-92)/(-138) + 14/6). Factor -2/7*y**4 + 4/7*y**3 - 2/7*y**5 - 2/7*y + 4/7*y**a - 2/7.
-2*(y - 1)**2*(y + 1)**3/7
Let m be ((-9)/(-1) + -4)*-1 + (-120)/(-24). Factor m + 2/15*n**2 - 2/3*n.
2*n*(n - 5)/15
Let k(p) = -4*p**3 - 80*p**4 + 91*p**4 + 10*p**2 + p**2. Let c(t) = 21*t**4 - 9*t**3 + 21*t**2. Let n(m) = 6*c(m) - 11*k(m). Find o such that n(o) = 0.
0, 1
Let a(v) be the second derivative of -v**5/70 - v**4/3 - 32*v**3/21 + 128*v**2/7 - 316*v. Determine y, given that a(y) = 0.
-8, 2
Find r such that 2/15*r**2 + 2/15*r**3 + 0 - 4/15*r = 0.
-2, 0, 1
Suppose -11*y - 16*y + 76 = 11*y. Factor 2/5 - 1/5*v - 1/5*v**y.
-(v - 1)*(v + 2)/5
Factor 10*y**2 + 2*y**5 - 287*y**3 - 303*y**3 + 12*y - 10*y**4 + 576*y**3.
2*y*(y - 6)*(y - 1)*(y + 1)**2
Factor 4*s**2 - 8/3*s**3 + 2/3*s**4 - 8/3*s + 2/3.
2*(s - 1)**4/3
Let z(d) be the second derivative of -d**6/300 - d**5/200 + 82*d + 1. Factor z(y).
-y**3*(y + 1)/10
Suppose -4*m = -0*m - 12. Suppose -12*s = -16*s + 20. Factor -3 - 6*c**4 - 16*c**2 - 5*c**s + 4*c**5 + 9 - 8 - 14*c**m - 9*c.
-(c + 1)**4*(c + 2)
Solve 3*l**2 + 24 + 0*l**2 - 4*l**2 - 6*l - 2*l**2 = 0 for l.
-4, 2
Let c be (2 + -5 + -2)/(81/(-9) - -7). Determine k so that 15/4*k - c*k**3 - 5/4*k**5 + 5/4 - 15/4*k**4 + 5/2*k**2 = 0.
-1, 1
Suppose 0 = -6*j + 7*j - 3. Let b = j + -3. Find n, given that 1 - n + b + 5*n + 4*n**2 = 0.
-1/2
Let g(r) be the third derivative of -r**6/70 - 11*r**5/210 + 5*r**4/21 - r**3/7 - 2*r**2 - 15*r. Factor g(t).
-2*(t - 1)*(t + 3)*(6*t - 1)/7
Let l(j) = 12*j**2 + 35*j + 13. Let n(d) be the first derivative of 14*d**3 + 123*d**2/2 + 45*d - 17. Let c(q) = -18*l(q) + 5*n(q). Let c(k) = 0. What is k?
-3/2, -1
Suppose -153*h = -168*h + 45. Suppose -j = -5*i - 15, j = -i + 6 + 9. Factor j*m**h