*j**2 - 99*j + 172. Let t(w) = -2*c(w) - f(w). Factor t(v).
-5*(v - 17)*(v - 2)
Let g(r) = r**2 + 23*r + 66. Let w be g(-20). Let s be (-9)/(-252)*24*56/w. Factor 2/3*d**3 + s*d + 16/3 + 4*d**2.
2*(d + 2)**3/3
Factor 0*x - 15/7*x**4 + 3/7*x**5 + 12/7*x**3 + 0*x**2 + 0.
3*x**3*(x - 4)*(x - 1)/7
Let k(m) = -4*m**3 - 29*m**2 - 5*m + 21. Let h(x) = -2*x**3 - 28*x**2 - 4*x + 22. Let s(b) = -3*h(b) + 2*k(b). Let v be s(13). Factor -15/2*q + 0 - 5/2*q**v.
-5*q*(q + 3)/2
Let i(s) be the third derivative of -1/330*s**5 + 0 + 0*s - 1/33*s**3 - 1/66*s**4 - 40*s**2. Factor i(j).
-2*(j + 1)**2/11
Let h be (3/6)/(5/20). Factor -5 + 6*p - 3*p**3 + 5*p**h + 0*p**3 - 2*p**3 - p.
-5*(p - 1)**2*(p + 1)
Let s(w) be the third derivative of -w**8/1680 - 41*w**7/1050 - w**6/15 + 54*w**2 - 6*w. Determine h, given that s(h) = 0.
-40, -1, 0
Suppose -10 = -3*z - 2*b, -3*z + 4*b + 0 = -16. Determine a, given that 77*a + 5*a**3 - 83*a - z*a**2 - 3*a**3 = 0.
-1, 0, 3
Let c(x) = -19 - x**3 - 7*x**2 - 9*x + 8 - 3. Let r be c(-6). Factor 12*s**3 + 8*s**4 + 8*s**4 - 20*s**4 - 36 + 8*s**2 - 48*s + r*s**3.
-4*(s - 3)**2*(s + 1)**2
Let h(n) = n**2 + 3*n + 2. Let w be h(-3). Let x be 30/(-40)*w/(-3). Factor -1/2*j**3 + 0*j**2 + 0*j + 0 - x*j**4.
-j**3*(j + 1)/2
Let p(o) be the first derivative of o**6/3 + 4*o**5/5 - 13*o**4/2 + 20*o**3/3 + 199. Factor p(a).
2*a**2*(a - 2)*(a - 1)*(a + 5)
Let t(r) = -36*r**3 + 159*r**2 - 321*r + 246. Let u(b) = b**4 + b**2 - b - 1. Let g(s) = -t(s) - 3*u(s). Factor g(a).
-3*(a - 3)**4
Let d(n) be the second derivative of 3*n**5/20 - n**4 + 5*n**3/2 - 3*n**2 - 2*n - 27. Factor d(p).
3*(p - 2)*(p - 1)**2
Let s(j) = 19*j**2 + 12*j + 3. Let a(b) = 9*b**2 + 8*b + 2. Let v(x) = -5*a(x) + 2*s(x). Factor v(z).
-(z + 2)*(7*z + 2)
Let a(i) = -2*i + 29. Let v be a(15). Let o be v + 5 + -6 - -3. What is m in 5/2*m + 1/2*m**4 - o - 1/2*m**3 - 3/2*m**2 = 0?
-2, 1
Let z be 12/5 - 10/25. Find r, given that -r**z - 4*r**2 + 10*r - 35*r - 10 + 10*r = 0.
-2, -1
Suppose 28 + 42 = -b. Let r be ((-12)/b)/((16/10)/8). Solve r*t**2 + 0 - 2/7*t**3 - 4/7*t = 0 for t.
0, 1, 2
Let i be (6/9)/(1/6). Let k be 48/70*(-105)/(-45). Let c**i + k*c - 1/5*c**2 - 4/5 - 7/5*c**3 - 1/5*c**5 = 0. What is c?
-1, 1, 2
Let r(m) be the first derivative of -2 + 5/4*m**4 + 10*m + 25/2*m**2 + 20/3*m**3. Factor r(p).
5*(p + 1)**2*(p + 2)
Let d = 825 + -4111/5. Suppose d*n**3 - 4/5 - 23/5*n**2 + 16/5*n - 3/5*n**4 = 0. Calculate n.
2/3, 1, 2
Suppose 0 = -128*g - 52*g + 45*g + 270. Determine j, given that -12/5*j**g - 3/5*j**5 + 0*j**3 + 9/5*j**4 + 0 + 0*j = 0.
-1, 0, 2
Let b = -170/9 - -361/18. Let c(z) be the first derivative of -1 - b*z**2 - z**3 + 2/3*z. Solve c(g) = 0 for g.
-1, 2/9
Let k(m) = m**2 + 5*m - 6. Let a be k(-6). Let o be a/(-1) - -8*3/66. Determine n, given that 0*n**2 - o*n - 2/11 + 4/11*n**3 + 2/11*n**4 = 0.
-1, 1
Let i = -496 + 1448/3. Let h = i + 323/24. Factor h*u**2 + 1/2 - 1/2*u.
(u - 2)**2/8
Let y = -10594 + 42379/4. What is p in 3/4*p**3 + 1/4*p**4 + 0 - 1/4*p**2 - y*p = 0?
-3, -1, 0, 1
Suppose -1 = -6*h + 11. Let n be h/8 + (-7)/28. Solve n + 4/5*k + 4/5*k**2 = 0.
-1, 0
Let u = -26 + 30. Let q be u/(16/29) - 5. Factor -q*j - 1/4*j**3 - 3/2*j**2 + 0.
-j*(j + 3)**2/4
Let j(n) be the second derivative of 1/48*n**4 + 0 + 0*n**2 - 1/24*n**3 + 12*n. Solve j(k) = 0.
0, 1
Let w be (-4)/10 + (-8)/(-20). Let s(y) = -y**3 - 2*y**2 - y. Let j be s(w). Suppose -q**3 + 0*q**2 + 12*q + q**2 + j - 11*q - 1 = 0. Calculate q.
-1, 1
Let k(a) be the second derivative of -1/75*a**6 - 8/5*a**4 + a - 13/50*a**5 - 12/5*a**3 + 24 + 0*a**2. Factor k(r).
-2*r*(r + 1)*(r + 6)**2/5
Suppose 19 = 2*j - 3*m, -7*j = -6*j - m - 8. Let v(o) be the first derivative of -j + 0*o + 0*o**3 + 1/9*o**2 + 0*o**5 + 1/27*o**6 - 1/9*o**4. Factor v(f).
2*f*(f - 1)**2*(f + 1)**2/9
Let y(k) = 7*k**4 - 52*k**3 + 122*k**2 - 116*k + 33. Let p(h) = 190*h**4 - 1405*h**3 + 3295*h**2 - 3135*h + 890. Let g(d) = 2*p(d) - 55*y(d). Factor g(s).
-5*(s - 7)*(s - 1)**3
Let k(r) = r**3 + 25*r**2 - 14*r + 7. Let m(o) = 8*o**2 - 4*o + 2. Let n(p) = -2*k(p) + 7*m(p). Determine v so that n(v) = 0.
0, 3
Let i(c) be the first derivative of -2*c**3/3 - 4*c**2 + 10*c - 89. Solve i(g) = 0 for g.
-5, 1
Let x(z) be the second derivative of 5*z**4/12 + 100*z**3/3 + 1000*z**2 + 49*z. Factor x(o).
5*(o + 20)**2
Let o(x) = -113*x - 1804. Let d be o(-16). Suppose 0*u + 0 - d*u**3 - 1/2*u**5 + 5/2*u**4 + 2*u**2 = 0. Calculate u.
0, 1, 2
Suppose -4*s = -270 + 6. Let u be 2 - (-4 - s/(-15)). Factor -2/5*k**5 - 8/5*k**2 - 2/5*k - u*k**4 + 0 - 12/5*k**3.
-2*k*(k + 1)**4/5
Let g(f) = 5*f**3 - 2*f**2 - f + 1. Let c be g(1). What is x in 3*x + 8*x**3 - 6*x**2 - c*x**3 - 5*x + 3*x**3 = 0?
-1/4, 0, 1
Let t be (1/18)/(11 + 1479/(-135)). Factor -5*q + 0 + t*q**2.
5*q*(q - 4)/4
Let d = 194 - 166. Factor -3*j**3 + 4 - 56*j - 36 - j**3 - d*j**2 + 0*j**3.
-4*(j + 1)*(j + 2)*(j + 4)
Factor 49*l**3 - l**5 + 6*l**4 + l**2 - 3*l**4 - 52*l**3.
-l**2*(l - 1)**3
Let b = 2057 + -8219/4. Factor 3/4*v + 0 + b*v**3 - 3/4*v**4 - 9/4*v**2.
-3*v*(v - 1)**3/4
Let c(h) = -6*h - 23. Let x(l) = -l + 1. Let r(d) = -c(d) + 5*x(d). Let f be r(-23). Let 0*v**4 + 4/5*v**2 - 6/5*v + 8/5*v**3 - 4/5 - 2/5*v**f = 0. Calculate v.
-1, 1, 2
Let v(d) be the second derivative of -d**7/273 - d**6/39 + 7*d**5/65 - 55*d + 2. Factor v(l).
-2*l**3*(l - 2)*(l + 7)/13
Factor -160*f - 80*f**2 + 26 + 5*f**4 - 5*f**5 + 91 + 60*f**3 + 110 - 64 + 77.
-5*(f - 2)**3*(f + 2)*(f + 3)
Let a = -19855 + 79815/4. Let r = -98 + a. Find z, given that -r*z**2 + 3/4*z**3 - 1/4*z**4 + 1/4*z + 0 = 0.
0, 1
Suppose 4471 - 4471 = -16*h. Find z, given that -1/4*z + 1/4*z**5 + 0 - 1/2*z**4 + 1/2*z**2 + h*z**3 = 0.
-1, 0, 1
Let c(o) be the first derivative of 1/16*o**4 + 1/20*o**5 - 1/12*o**3 + 0*o - 1/8*o**2 + 10. Determine g so that c(g) = 0.
-1, 0, 1
Let d(u) = 3*u - 1 - 2*u - 3*u**2 + 6*u + 2*u. Let z(k) = -k**2 + k + 1. Let o(t) = -d(t) + 5*z(t). Factor o(c).
-2*(c - 1)*(c + 3)
Let z(i) = -i**5 + i**2 - 2*i. Let a(y) = 8*y**5 + 2*y**4 + 2*y**3 - 12*y**2 + 20*y. Let m(o) = -2*a(o) - 20*z(o). Solve m(x) = 0 for x.
-1, 0, 1
Let y(z) be the third derivative of -z**8/168 - z**7/21 + z**6/30 + z**5/3 - z**4/12 - 5*z**3/3 - 10*z**2 - 2. Suppose y(s) = 0. What is s?
-5, -1, 1
Let k(v) be the first derivative of -v**8/840 + v**6/45 - 4*v**3 - 23. Let t(q) be the third derivative of k(q). Suppose t(m) = 0. What is m?
-2, 0, 2
Determine b so that 3*b**2 + 83*b - 30*b - 27*b - 30*b - 7*b**2 = 0.
-1, 0
Let b be (-1 + -1 - -5) + -1 + 14. Solve -22*i**4 - 2*i**4 + 9*i**4 + 3*i**4 + b*i**2 + 4*i**5 = 0 for i.
-1, 0, 2
Let k(x) be the first derivative of -x**5/20 - 9*x**4/16 - 5*x**3/4 - 7*x**2/8 - 89. Suppose k(w) = 0. Calculate w.
-7, -1, 0
Let s be 520/60 + 16/12 - 10. Let 0 - 3/5*j**5 + 24/5*j**3 + 0*j**4 - 48/5*j + s*j**2 = 0. Calculate j.
-2, 0, 2
Let o(h) be the first derivative of -8 + 4/3*h**3 + h**4 - 4*h**2 + 0*h. Factor o(m).
4*m*(m - 1)*(m + 2)
Let j(s) = -7*s**2 + 12*s + 57. Let a(f) = 6*f**2 - 13*f - 58. Let v(h) = -6*a(h) - 5*j(h). Factor v(p).
-(p - 21)*(p + 3)
Let q be (-2 - -12) + (627 - 634). Factor -3/2*z - 3/2 + q*z**2 - 3/2*z**5 - 3/2*z**4 + 3*z**3.
-3*(z - 1)**2*(z + 1)**3/2
Let b(m) = -2*m**3 + 5*m**2 + 42*m - 45. Let n(u) = 25*u**3 - 65*u**2 - 545*u + 585. Let x(d) = -40*b(d) - 3*n(d). Factor x(f).
5*(f - 3)*(f - 1)*(f + 3)
Let x(c) be the first derivative of 3*c**4/28 + 151*c**3/7 + 2475*c**2/2 + 16875*c/7 + 106. Suppose x(s) = 0. What is s?
-75, -1
Suppose 2 = -84*h + 89*h + g, 2 = -5*h + g. Factor 3/4*i**3 + 3*i + h + 15/4*i**2.
3*i*(i + 1)*(i + 4)/4
Let a = -14/185 - -1193/13320. Let z(f) be the third derivative of a*f**4 + 0*f**3 + 0 + 0*f + 1/120*f**6 + 1/60*f**5 + 1/630*f**7 + 5*f**2. Factor z(p).
p*(p + 1)**3/3
Let q(k) be the third derivative of 0*k**4 - 1/784*k**8 + 0*k + 7*k**2 + 0*k**7 - 1/70*k**5 + 3/280*k**6 + 0 + 0*k**3. Factor q(v).
-3*v**2*(v - 1)**2*(v + 2)/7
Let w = -14042 + 56169/4. Let -3/2*y - w*y**2 - 9/4 = 0. What is y?
-3
Let t(l) = -3*l**5 + 2*l**4 + 13*l**3 - 72*l**2 + 94*l - 38. Let i(g) = g**5 + 2*g**3 + g**2 - g - 1. Let b(c) = 2*i(c) + t(c). Let b(m) = 0. What is m?
-5, 1, 2
Factor 797*y - 15*y**2 - 14*y**2 - 27 + 764*y + y**3 - 1506*y.
(y - 27)*(y - 1)**2
Let o be ((-8)/(-1))/(