 - 20*o**3/3 - 10*o**2 - 287. Factor u(p).
5*p*(p - 1)*(p + 1)*(p + 2)**2
Suppose -46*x = -50*x + 4*l + 12, -33 = -5*x - l. Factor x + 98/3*u**2 - 28*u.
2*(7*u - 3)**2/3
Let w(a) = 93 - 2*a - a**3 - 85 - 3*a**2 + 2*a**3. Let o be w(3). Factor 0 + 2/3*t**o + 0*t.
2*t**2/3
Let x(d) = 25*d**2 + 5*d - 10. Let t(q) be the first derivative of -q**3/3 + 10. Let z(g) = -20*t(g) - x(g). Factor z(h).
-5*(h - 1)*(h + 2)
Determine n, given that -56/11 - 2/11*n**2 - 58/11*n = 0.
-28, -1
Let h(m) = 12*m**3 - 45*m**2 + 39*m + 11. Let x(f) = f**3 - f**2 - f - 1. Let y(c) = h(c) - 5*x(c). Let y(a) = 0. What is a?
-2/7, 2, 4
Let g = 1/118 + 227/1062. Factor -2/9*n - 2/9*n**2 + 2/9*n**3 + g.
2*(n - 1)**2*(n + 1)/9
Let l(y) be the first derivative of 4*y**5/5 + 3*y**4 - 8*y**3/3 - 24*y**2 - 32*y - 77. Factor l(w).
4*(w - 2)*(w + 1)*(w + 2)**2
Let x(l) be the first derivative of l**6/840 + l**5/420 - l**4/84 - 7*l**2/2 - 15. Let i(g) be the second derivative of x(g). Determine t, given that i(t) = 0.
-2, 0, 1
Let a(j) = -3*j**2 - 2*j + 16. Let i(g) = g**2 + g - 5. Let p(v) = -3*a(v) - 8*i(v). Factor p(l).
(l - 4)*(l + 2)
Let v be (-2)/(-2) + ((-14)/28)/((-91)/(-154)). Factor 8/13*k + 6/13 + v*k**2.
2*(k + 1)*(k + 3)/13
Let r be 788/56 + -13 + (-8)/14. Factor 7/2*x - r*x**3 + 0*x**2 + 3.
-(x - 3)*(x + 1)*(x + 2)/2
Let z(i) = 19*i**2 - 1. Let g be z(-1). What is s in -3*s**2 - 30*s - 3*s**4 - 9 - 18*s**2 - g*s**3 - 2*s**2 - 13*s**2 = 0?
-3, -1
Let u be (24/12)/(-2 - (-162)/80). Let 30*l + 77*l**2 - u*l**2 + 0 - 75 = 0. Calculate l.
5
Suppose -3*j + 15 = 0, 10 = -5*b + 4*b + 2*j. Let u = 22/65 - -6/13. Factor 0*w + 8/5*w**3 + u*w**2 + 4/5*w**4 + b.
4*w**2*(w + 1)**2/5
Let j = 5199/3470 + 3/1735. Factor -j*p**2 + 7/8*p**4 - 9/8*p**3 + 0 + 1/2*p.
p*(p - 2)*(p + 1)*(7*p - 2)/8
Let w(p) be the third derivative of p**7/1260 - p**6/20 + 27*p**5/20 + p**4/6 + 23*p**2. Let k(a) be the second derivative of w(a). Solve k(v) = 0 for v.
9
Let d = 30 - 28. Determine j, given that 23*j**4 + 4*j**5 - 4*j**3 - 95*j**4 + 34*j**4 + 30*j**4 + 8*j**d = 0.
-1, 0, 1, 2
Let q = -363 - -366. Let y(t) be the first derivative of 1/2*t + 1/2*t**2 + 1 + 1/6*t**q. Factor y(k).
(k + 1)**2/2
Solve 338/3 + 52/3*j + 2/3*j**2 = 0 for j.
-13
Let d = -1/29 - -39/290. Let z(a) be the second derivative of 0 - 3/10*a**5 - d*a**6 - 1/4*a**4 + 3*a + 0*a**2 + 0*a**3. Factor z(t).
-3*t**2*(t + 1)**2
Let r(m) be the third derivative of -7*m**8/192 + 5*m**7/48 + 13*m**6/72 + m**5/12 + 17*m**3/6 - 27*m**2. Let o(u) be the first derivative of r(u). Factor o(h).
-5*h*(h - 2)*(7*h + 2)**2/4
Let u(m) be the first derivative of -2*m**3/3 + 6*m**2 + 14*m + 74. Factor u(g).
-2*(g - 7)*(g + 1)
What is n in -3/4*n**3 + 0*n - 1/4*n**5 + 0 + n**4 + 0*n**2 = 0?
0, 1, 3
Let z be (-1161)/15*5/(-14). Let q = z + -53/2. Factor -q + 16/7*x - 10/7*x**2 + 2/7*x**3.
2*(x - 2)**2*(x - 1)/7
Let k(v) = 5*v + 12. Let p be k(-2). Let z(s) be the second derivative of -8/9*s**3 + 0 - 2/3*s**2 - p*s - 13/36*s**4 - 1/20*s**5. Find g, given that z(g) = 0.
-2, -1/3
Let v be 29 + -33 + (-38)/(-8). Let j be 1*(-9)/(-24)*2. Determine u, given that -3/2 - v*u**4 + 9/4*u**2 - 3/4*u + j*u**3 = 0.
-1, 1, 2
Let j(h) = -2*h - 6*h + 4*h + 47 + 6. Let l be j(13). Factor -2/3*u - 1/3*u**2 + l.
-(u - 1)*(u + 3)/3
Let x(h) be the second derivative of -35*h**4/4 - 155*h**3/3 + 15*h**2/2 + 53*h. Factor x(n).
-5*(n + 3)*(21*n - 1)
Let o be ((-70)/(-25) - 4)*-5. Factor -2*p**2 - 2*p**2 + 7*p**5 - 2*p**5 - o*p**3 - 3*p**5.
2*p**2*(p - 2)*(p + 1)**2
Let n be (-12)/(-10) - (-4 + 8 - 3). Let k(c) be the first derivative of 0*c**3 - 1/5*c**2 + 1 + 1/10*c**4 - n*c + 1/25*c**5. Suppose k(r) = 0. What is r?
-1, 1
Let n(k) be the second derivative of k**5/10 + 11*k**4/6 + 8*k**3 + 38*k. Determine h so that n(h) = 0.
-8, -3, 0
Let i = -26 + 28. Suppose i = 2*k - 2. Suppose -3*n**2 - 3*n**2 - k*n**2 + 9*n**2 = 0. Calculate n.
0
Let u = 36869/3 - 12283. Find d, given that u - 4/3*d**2 + 16/3*d = 0.
-1, 5
Let x(f) be the second derivative of -f**6/15 - 7*f**5/5 - 34*f**4/3 - 130*f**3/3 - 75*f**2 + 68*f. What is k in x(k) = 0?
-5, -3, -1
Let s(p) be the first derivative of 3*p**5/5 + 3*p**4 + 4*p**3 + 96. Factor s(f).
3*f**2*(f + 2)**2
Let b(d) be the second derivative of -5*d**4/114 + 4*d**3/19 - 4*d**2/19 + d - 19. What is r in b(r) = 0?
2/5, 2
Let f(v) = -v + 5. Let u be f(8). Let h be u/(36/(-15))*16. Factor -4*d**3 - 12*d**3 - 2*d - 2*d + h*d**2.
-4*d*(d - 1)*(4*d - 1)
Let a = -3/12475 - -12484/37425. Factor -8/3*z + 2/3*z**3 - a*z**4 + z**2 + 4/3.
-(z - 2)*(z - 1)**2*(z + 2)/3
Let r be 4/(-8) + (69/18 - 3). Let w(f) be the first derivative of 2 - f + f**2 - r*f**3. Find c such that w(c) = 0.
1
Let c = -55/368 + 2/23. Let p = 11/16 - c. Factor -p*q**2 - 3/4*q**3 + 3/4 + 3/4*q.
-3*(q - 1)*(q + 1)**2/4
Let w = -105 + 110. Solve 10*s**4 - 4*s**w - s**5 + 3 - 3 = 0 for s.
0, 2
Let q(m) be the first derivative of 5*m**6/6 - 7*m**5 - 25*m**4/4 + 125*m**3 - 29. Suppose q(w) = 0. What is w?
-3, 0, 5
Let d = -35/3 + 12. Let x(w) be the third derivative of 2*w**3 - 5*w**2 - 1/15*w**5 + 0*w - d*w**4 + 0. Determine y, given that x(y) = 0.
-3, 1
Let g(w) be the second derivative of 4*w**3 - 1/4*w**4 - 24*w**2 + 0 + 5*w. Let g(v) = 0. Calculate v.
4
Find i such that -48/5*i**3 + 72/5*i**2 - 27/5*i + 3/5 = 0.
1/4, 1
Let i(w) be the third derivative of w**6/40 + 7*w**5/20 + 5*w**4/4 - 5*w**2 + 2. Find u, given that i(u) = 0.
-5, -2, 0
Let z = -103 + 108. Solve -27*y**4 + z*y**3 + 17*y**4 - 4*y**3 + 11*y**4 = 0 for y.
-1, 0
Let h = -613 + 616. Determine f, given that 0*f**2 + 0*f + 0 + 2/7*f**4 + 0*f**h = 0.
0
Let m = 2 + -11. Let g = m - -13. What is a in -a**3 - 6*a**3 + 4*a**3 - 2 + 3*a - g + 6*a**2 = 0?
-1, 1, 2
Factor 2*n**3 + 3*n**2 - 14*n**3 + n**2 + 16*n + 0*n**2.
-4*n*(n + 1)*(3*n - 4)
Let i(a) be the third derivative of 2/5*a**7 + 54*a**2 + 7/30*a**6 - 8/3*a**4 - 17/15*a**5 + 3/28*a**8 - 8/3*a**3 + 0 + 0*a. Let i(u) = 0. What is u?
-1, -2/3, 1
Let g(p) = -3*p**2 + 25*p - 58. Let d(x) = 3*x**2 - 24*x + 60. Let q(t) = 2*d(t) + 3*g(t). Factor q(h).
-3*(h - 6)*(h - 3)
Let h(t) be the first derivative of -t**5/360 + 2*t**2 - 9. Let j(i) be the second derivative of h(i). Factor j(f).
-f**2/6
Let j(m) be the first derivative of -m**7/5460 + m**6/2340 + m**5/156 + m**4/52 + 26*m**3/3 + 15. Let c(o) be the third derivative of j(o). Factor c(f).
-2*(f - 3)*(f + 1)**2/13
Let f(w) = -2*w**3 - 211*w**2 + 198*w - 5. Let z(s) = 4*s**3 + 316*s**2 - 296*s + 8. Let y(d) = 8*f(d) + 5*z(d). Factor y(a).
4*a*(a - 26)*(a - 1)
Let i(l) = -4*l**3 - 2*l**2 - 5*l - 3. Let t be i(-1). Factor -3 - 192*m**2 - 191*m**t + 16*m + 3 + 867*m**4 + 468*m**3.
4*m*(m + 1)*(13*m - 2)**2
Let 6*z - 6 + 3/2*z**5 - 15/2*z**3 - 3/2*z**4 + 15/2*z**2 = 0. Calculate z.
-2, -1, 1, 2
Let c be (-3 + 4 - -2)*1. What is i in 121*i + 200*i**2 - 4 + 80*i**c + 14 - 36*i = 0?
-2, -1/4
Let p(b) be the second derivative of -7*b**4/60 + 67*b**3/10 + 29*b**2/5 + 43*b + 1. Factor p(n).
-(n - 29)*(7*n + 2)/5
Suppose 3*o - 249 = -9. Let -106 + 58 - g**2 + o*g - 11*g**2 = 0. Calculate g.
2/3, 6
Let o = -279 + 282. Let l(y) be the second derivative of 0 + 0*y**2 - 1/4*y**4 - 1/2*y**o - 6*y. Factor l(w).
-3*w*(w + 1)
Let s be 19567/66045 - -2*(-1)/(-7). Let o = s + 2/111. Factor 3/5*q**3 - 12/5 + o*q**2 - 12/5*q.
3*(q - 2)*(q + 1)*(q + 2)/5
Let a = 12 - 10. Let p be 8/20 + (-46)/(-10). Factor -2*w**3 - a - 2*w**3 + 5*w + p*w**3 - 4*w**2.
(w - 2)*(w - 1)**2
Let x(t) be the first derivative of t**4/16 - 175*t**3/4 + 91875*t**2/8 - 5359375*t/4 - 582. Factor x(a).
(a - 175)**3/4
Let y(c) = -12*c**4 + 12*c**3 - 39*c**2 + 51*c - 15. Let p(f) = f**4 - f**3 + f**2 - f + 1. Let z(r) = -15*p(r) - y(r). Suppose z(g) = 0. Calculate g.
-3, 0, 2
Let y be 11/(11/4) + 1*-7. Let r be 14/63 - -5*y/(-54). Factor -r - 2*v - 1/2*v**4 - 2*v**3 - 3*v**2.
-(v + 1)**4/2
Let p(a) be the third derivative of -a**6/30 - a**5/6 - a**4/3 - a**3/3 + 2*a**2 + 22*a. What is n in p(n) = 0?
-1, -1/2
Suppose -19*s = -7*s - 564. Factor -4*r - 2*r**3 + s*r**2 - 39*r**2 - 6*r + 4.
-2*(r - 2)*(r - 1)**2
Let -16/7*v**3 + 16/7*v + 20/7*v**2 - 2/7*v**4 - 18/7 = 0. Calculate v.
-9, -1, 1
Let i(g) = g**3 - 11*g**2 - 12*g + 5. Let y be i(12). Suppose -5*c + 4*d + 10 = 9*d, -y*c + 8