be the third derivative of t**7/420 + t**6/240 - t**5/10 + t**4/12 + 4*t**3/3 + 25*t**2. Factor v(a).
(a - 2)**2*(a + 1)*(a + 4)/2
Let n = 4296 + -4296. Factor -4/7*c**2 + 0 + n*c - 4/7*c**3.
-4*c**2*(c + 1)/7
Let v(h) be the second derivative of 0 - 13/2*h**3 + 7/8*h**4 + 17*h - 6*h**2. Determine j, given that v(j) = 0.
-2/7, 4
Let w = 3027 - 3027. Let 0*j - 1/4*j**2 + w = 0. What is j?
0
Let l = -6 - -40. Factor 20 - m - l*m + 0*m**2 - 18*m**3 + 23*m**3 + 10*m**2.
5*(m - 1)**2*(m + 4)
Let t(s) = 2*s**2 - s - 134. Let i be t(-8). Find q such that -2/7*q**3 - 6/7*q - 2/7 - 6/7*q**i = 0.
-1
Let t be (162/180)/(3/2). Factor t - 6/5*q - 9/5*q**2.
-3*(q + 1)*(3*q - 1)/5
Let c = 9 - 14. Let r(l) = -l**2 + 2*l + 5. Let x(i) = -3*i**2 + 3*i + 9. Let m(y) = c*x(y) + 9*r(y). Solve m(b) = 0 for b.
-1/2, 0
Let b(k) be the third derivative of k**6/120 - k**5/60 - 5*k**4/12 - 4*k**3/3 + 225*k**2. Find y, given that b(y) = 0.
-2, -1, 4
Determine x, given that 0*x + 3/4*x**2 - 27/4 = 0.
-3, 3
Suppose -18*x - 50 + 104 = 0. Factor -8/11*o**x - 8/11*o - 2/11*o**4 - 2/11 - 12/11*o**2.
-2*(o + 1)**4/11
Let p(u) be the first derivative of -u**6/240 - u**5/16 + 56*u**3/3 - 9. Let j(c) be the third derivative of p(c). Factor j(o).
-3*o*(o + 5)/2
Let y(v) be the first derivative of -1 - v**4 + 0*v**2 + 1/6*v**3 + 3*v - 32/15*v**6 + 12/5*v**5. Let k(q) be the first derivative of y(q). Factor k(l).
-l*(4*l - 1)**3
Let l(n) be the first derivative of 2*n**6/3 + 44*n**5/5 + 34*n**4 + 184*n**3/3 + 58*n**2 + 28*n + 141. Determine r so that l(r) = 0.
-7, -1
Let u be ((-8)/(-14))/(-2) - (-4134)/1484. Factor -u*a**2 + 2*a - 1/2 + a**3.
(a - 1)**2*(2*a - 1)/2
Suppose -9*i - 2*i + 22 = 0. Suppose -4*p + 2*m = -i*m - 16, 8 = -p - 5*m. Factor -k**3 + k - 3/2*k**p + 3/2*k**4 + 0.
k*(k - 1)*(k + 1)*(3*k - 2)/2
Let o(s) = -2*s**4 + 18*s**3 + 18*s**2 + 30*s + 8. Let y(l) = l**3 - l**2 + 2*l + 1. Let g(f) = o(f) - 8*y(f). Find z, given that g(z) = 0.
-1, 0, 7
Let k(t) = 2*t**3 + 24*t**2 - 70*t - 2. Let r(u) = -3*u**3 - 46*u**2 + 139*u + 5. Let z(s) = -5*k(s) - 2*r(s). Determine p, given that z(p) = 0.
-9, 0, 2
Let w(v) be the first derivative of -1/3*v**3 - 48 - v - v**2. Factor w(i).
-(i + 1)**2
Solve 0 + 30/7*k**4 - 3/7*k**5 + 0*k - 96/7*k**3 + 96/7*k**2 = 0 for k.
0, 2, 4
Factor 18*z - 3*z**2 + 145 + 11*z + 13*z + 71.
-3*(z - 18)*(z + 4)
Let a be (-5)/(-6) - 21*4/108. Let w(m) be the first derivative of 0*m - 1/6*m**5 - a*m**3 + 1/6*m**2 + 4 - 1/3*m**4. Factor w(q).
-q*(q + 1)**2*(5*q - 2)/6
Determine u, given that 54/7*u**2 + 108/7*u + 24/7 - 123/7*u**3 - 9*u**4 = 0.
-2, -2/3, -2/7, 1
Let m(w) = -8*w - 21. Let v be m(-9). What is y in -v*y - 2*y**5 + 16*y**3 + 51*y - 14*y**3 = 0?
-1, 0, 1
Let c(y) = -y + 10. Let o be c(7). Suppose 0*g + 12 = o*g. Determine k so that 7*k**5 + 8*k**5 + 14*k**g + 4*k**3 - 5*k**5 = 0.
-1, -2/5, 0
Let u(f) be the second derivative of f**6/90 + f**5/10 - 2*f**4/3 + 4*f**3/3 - 5*f. Let t(s) be the second derivative of u(s). Let t(c) = 0. What is c?
-4, 1
Suppose -18*v**2 + 100 - 2/5*v**4 + 10*v - 26/5*v**3 = 0. Calculate v.
-5, 2
Let z(a) be the third derivative of -a**5/180 + 7*a**4/18 - 98*a**3/9 - 4*a**2 + 13. Factor z(x).
-(x - 14)**2/3
Let d(h) = 8*h**4 + 9*h**3 + 4*h**2 - 27*h - 10. Let m(w) = -7*w**4 - 11*w**3 - 5*w**2 + 26*w + 9. Let u(z) = 3*d(z) + 4*m(z). Find y, given that u(y) = 0.
-3, -2, -1/4, 1
Let o be 22/(-5) - (-4 + 2)/((-14)/(-42)). Factor 3/5*f**2 + 4/5 - o*f.
(f - 2)*(3*f - 2)/5
Let t = 1733/20 + -345/4. Let g(o) be the first derivative of 0*o**4 + 4/3*o**3 + 0*o**2 - 2*o - 6 - t*o**5. Factor g(r).
-2*(r - 1)**2*(r + 1)**2
Let t = 20 - 55. Let h be 46/10 - (-21)/t. Factor -14*w**3 + w**h + 15*w**3 + 0*w**4.
w**3*(w + 1)
Let k(w) be the second derivative of 2*w**7/147 - 2*w**6/35 + 2*w**5/35 + 2*w**4/21 - 2*w**3/7 + 2*w**2/7 - 6*w - 5. Find c such that k(c) = 0.
-1, 1
Let s be -1 + -2*(-5)/2. Let k(j) = -4*j**2 - 11*j. Let v(z) = -14*z + 20*z + 7*z**2 - 5*z**2. Let x(c) = s*k(c) + 7*v(c). Factor x(w).
-2*w*(w + 1)
Let i(x) be the third derivative of x**8/4032 - x**6/108 - 5*x**4/24 - 28*x**2. Let d(s) be the second derivative of i(s). Suppose d(v) = 0. What is v?
-2, 0, 2
Let h(x) be the first derivative of -x**6/75 - x**5/50 + x**4/15 - 19*x + 8. Let z(o) be the first derivative of h(o). Factor z(d).
-2*d**2*(d - 1)*(d + 2)/5
Let x(c) = 5*c**2 + c. Let u be x(-1). Suppose 0 = -u*a + 18 + 94. Find r such that 17 + 10 + a*r**3 + 48*r**2 - 27 - 16*r = 0.
-2, 0, 2/7
Let z be 20/(-30) + 134/3. Suppose 0 = -2*n + z - 18. Determine h, given that 16*h**3 - h**2 + n - 2 + 5 - 16*h - 4*h**4 - 11*h**2 = 0.
-1, 1, 2
Let f(r) be the third derivative of -2/15*r**5 - 1/6*r**4 + r**2 + 2/105*r**7 + 1/15*r**6 - 1/84*r**8 + 2/3*r**3 + 0 + 0*r. Factor f(g).
-4*(g - 1)**3*(g + 1)**2
Determine w so that -7*w - 4*w**4 - 11*w**2 + 4*w**3 + 15*w + 7*w**3 + 5*w**3 - 9*w**2 = 0.
0, 1, 2
Suppose 0 = -b - 2*b - j + 8, 0 = -2*b + 2*j. Let 19*n**b - 5*n - 4*n**2 - 11*n**3 + 31*n**3 = 0. Calculate n.
-1, 0, 1/4
Let j be ((-2)/(-4))/((-1)/(-6)). Suppose 4*a = -i - 0 - 6, 4*i + j*a - 2 = 0. Factor 0 + 8 - i*b**2 - 2*b**4 - 4 + 6*b - 6*b**3.
-2*(b - 1)*(b + 1)**2*(b + 2)
Let u(y) = y**3 - 3*y**2 - 1. Let n(d) = d**4 - 4*d**3 + 8*d**2 - 13*d - 1. Let o(f) = 3*n(f) + 15*u(f). Find v, given that o(v) = 0.
-2, -1, 3
Let h(t) = -t - 1. Let p be (-7 - -2) + -1 + 0. Let m be h(p). Find n such that 0*n + 0*n**2 + 2/9*n**m - 2/9*n**4 + 0*n**3 + 0 = 0.
0, 1
Let c(g) be the first derivative of -g**5/20 - 3*g**4/4 - 5*g**3/2 - 7*g**2/2 - 9*g/4 + 163. What is t in c(t) = 0?
-9, -1
Let a be (-16)/(-15) + (-5 - -4). Let r(d) be the third derivative of a*d**4 - 2/75*d**5 + 0*d**3 + 0*d + 1/300*d**6 - 4*d**2 + 0. Factor r(v).
2*v*(v - 2)**2/5
Let n(i) be the second derivative of -7*i + 0*i**4 + 0 - 1/2*i**2 + 1/15*i**5 - 8/3*i**3. Let o(k) be the first derivative of n(k). Factor o(g).
4*(g - 2)*(g + 2)
Let f(o) = o**3 - 206*o**2 + 1004*o + 8. Let v be f(5). Factor -2 + 1/4*y**v - 3/2*y + 3/4*y**2.
(y - 2)*(y + 1)*(y + 4)/4
Let t(d) be the first derivative of -d**5/270 + d**4/27 - d**3/9 - 3*d**2/2 - 10. Let w(l) be the second derivative of t(l). Factor w(z).
-2*(z - 3)*(z - 1)/9
Let l be 51/15 - ((-66)/(-15) - 4). Find q, given that -q**l + 6*q**3 + 8*q**2 - 4*q + 0*q - 9*q**3 = 0.
0, 1
Let u(g) = -6*g - 6. Let z be u(7). Let w be (-6)/8 - (4964/z)/17. Suppose -14/3*s + 4/3 + w*s**2 - 2*s**3 = 0. Calculate s.
2/3, 1
Let w(i) be the second derivative of -i**6/30 - i**5/20 + 3*i**4/2 + 8*i**3/3 - 16*i**2 + i + 2. Suppose w(n) = 0. What is n?
-4, -2, 1, 4
Let m(g) = g**2 - 2*g - 16. Let l be m(4). Let i be (-4)/((-40)/26) + l/(-20). Let 4/3*n**i - 2/9*n**4 - 8/3*n**2 + 0 + 16/9*n = 0. Calculate n.
0, 2
Let m = -325 - -330. Let n(k) be the third derivative of 0*k - 1/48*k**4 - 1/420*k**7 + m*k**2 - 1/40*k**5 + 0*k**3 - 1/80*k**6 + 0. Factor n(y).
-y*(y + 1)**3/2
Factor 2*y**2 + 455*y**4 + 451*y**4 - 907*y**4 - y**3.
-y**2*(y - 1)*(y + 2)
Factor -1/6*p**3 - 5/6*p**2 + 0 - p.
-p*(p + 2)*(p + 3)/6
Let l(n) be the third derivative of n**6/900 - n**5/150 - n**4/20 - 3*n**3/2 + 15*n**2. Let m(z) be the first derivative of l(z). Factor m(i).
2*(i - 3)*(i + 1)/5
Let f(w) = -3*w**2 + 17*w + 11. Let i be f(5). Let v be 16/24 - 8/i. Suppose 2/7*c**3 + v*c**2 + 0 + 0*c = 0. Calculate c.
-1, 0
Let w(r) = -7*r + 91. Let u be w(13). Let v(c) be the first derivative of 1/4*c**4 + 0*c**2 - 1/10*c**5 + u*c - 1/6*c**3 - 4. Solve v(h) = 0 for h.
0, 1
Let c = -1440 - -1440. Let v(o) be the third derivative of 2*o**2 + c + 2/51*o**3 + 1/204*o**4 - 1/255*o**5 - 1/1020*o**6 + 0*o. Factor v(h).
-2*(h - 1)*(h + 1)*(h + 2)/17
Let w(i) be the second derivative of i**5/100 - 2*i**3/15 - 37*i - 1. What is v in w(v) = 0?
-2, 0, 2
Let z(x) be the third derivative of -x**6/30 + x**5/15 - 10*x**2 + 2. Factor z(o).
-4*o**2*(o - 1)
Let m(x) be the second derivative of -x**5/5 - 10*x**4/3 - 6*x**3 + x - 70. Factor m(g).
-4*g*(g + 1)*(g + 9)
Let s(i) be the first derivative of -12 - 9/10*i**2 + 0*i - 1/5*i**3. Factor s(r).
-3*r*(r + 3)/5
Let t(f) be the third derivative of 1/9*f**3 - 1/360*f**6 + 0 + 6*f**2 + 0*f - 5/72*f**4 + 1/45*f**5. Factor t(z).
-(z - 2)*(z - 1)**2/3
Let c(y) be the second derivative of -13*y**6/18