 that a*t**2 + 0 - 1/10*t**5 - 1/10*t**4 + 1/10*t**3 + 0*t = 0.
-1, 0, 1
Let a = -9379 + 37517/4. Factor -1/8*q**2 - 1/8 - a*q.
-(q + 1)**2/8
Suppose 5*l - w - 124 = 0, -2*l + 116 = 3*l + w. Let c be (53/1)/(6/l). Factor -1 - 192*t**2 + 68*t + c*t**3 - 41*t**4 + 36*t**3 + 36*t**5 - 111*t**4 - 7.
4*(t - 1)**4*(9*t - 2)
Let y(n) be the third derivative of -n**5/80 + 245*n**4/96 - 27*n**3/4 - 462*n**2. Let y(d) = 0. Calculate d.
2/3, 81
Suppose 210*n**3 - 52*n + 3*n**5 - 378*n**3 - 64*n**4 - 160*n**2 - 7*n**5 = 0. Calculate n.
-13, -1, 0
Let j = 101 - 49. Determine b so that 12*b**2 - 5*b - 84 - 11*b + 4*b**3 - 8*b + j = 0.
-4, -1, 2
Suppose 4/15*s + 2/15*s**4 - 4/15*s**3 - 2/15 + 0*s**2 = 0. Calculate s.
-1, 1
Let p(t) be the third derivative of 0 + 0*t**3 + 0*t - 1/80*t**4 + 24*t**2 - 1/600*t**5. What is b in p(b) = 0?
-3, 0
Let n(k) be the first derivative of 361*k**6/3 - 3762*k**5/5 + 1467*k**4/2 + 6002*k**3/3 - 672*k**2 + 72*k - 330. Determine r so that n(r) = 0.
-1, 2/19, 3
Let h = 175/73 + 59/219. Let -2/3*d**3 - 10/3*d - 4/3 - h*d**2 = 0. Calculate d.
-2, -1
Let h(n) be the second derivative of n**5/20 + 3*n**4/2 + 27*n**3/2 - 82*n. Factor h(c).
c*(c + 9)**2
Suppose 2*v**5 + 12*v**3 + 368*v - 366*v + 8*v**4 - 2*v**2 + 10*v**2 = 0. What is v?
-1, 0
Let q(s) be the second derivative of -1/720*s**6 + 0*s**2 - 1/3*s**4 + 1/30*s**5 - 7/6*s**3 + 0 - 5*s. Let c(n) be the second derivative of q(n). Factor c(x).
-(x - 4)**2/2
Let f(u) be the third derivative of -u**6/780 + u**5/130 + 21*u**2. Find g such that f(g) = 0.
0, 3
Let t(v) be the first derivative of v**4/24 + 4*v**3/9 - 16*v**2/3 - 256*v/3 - 16. Factor t(f).
(f - 8)*(f + 8)**2/6
Let k = -204 - -471/2. Solve -9/2*i**2 + 3*i - 75/2*i**4 - k*i**3 + 0 - 27/2*i**5 = 0.
-1, 0, 2/9
Suppose 0 = -4*u - 4*b, 2*u + 116*b = 111*b - 9. Suppose 0 - 2/5*p**u + 14/5*p - 12/5*p**2 = 0. What is p?
-7, 0, 1
Let p(z) = -z**3 - 3*z**2 + z - 13. Let l be p(-4). Let i be (-1)/(l/(-3)) + -3 + 6. Factor 2/7*x + 2/7*x**2 + i.
2*x*(x + 1)/7
Factor -26 + 12 + 14 + 3*f**3.
3*f**3
Suppose 3*r = 12*r. Let i be 20/(-50) + (2 - 1). Factor 0*u + r + i*u**2.
3*u**2/5
Suppose -3*s + 2*s = -2. Suppose -s*k + 10 = -4. Factor -g**4 + g**5 - k*g**4 + 3*g**4 + 3*g**4 + g**3.
g**3*(g - 1)**2
Let t(u) be the second derivative of -u**6/240 + u**5/20 - u**4/4 - u**3/3 + 17*u. Let f(w) be the second derivative of t(w). Factor f(z).
-3*(z - 2)**2/2
Let p(n) be the first derivative of 47/24*n**4 - 4*n**2 + 11 + 1/36*n**6 - 26/9*n**3 - 2/5*n**5 + 32/3*n. Factor p(m).
(m - 4)**3*(m - 1)*(m + 1)/6
Let h = 60481/5 - 12134. Let u = h - -38. Factor -6/5*z - 9/5*z**2 - u - 4/5*z**3.
-(z + 1)**2*(4*z + 1)/5
Suppose -3*g + 3*y = 4*y - 16, 5*g - y - 16 = 0. Suppose -n = g*q - 20, 2*q + n + 4*n = 28. Factor 5 + 3 - 2 - q*w**2 - 2.
-4*(w - 1)*(w + 1)
Let z(u) be the second derivative of u**9/113400 - u**8/25200 - u**7/18900 + u**6/2700 + u**4/6 - 4*u. Let t(w) be the third derivative of z(w). Factor t(q).
2*q*(q - 2)*(q - 1)*(q + 1)/15
Let v(c) = c**2 + 4*c - 9. Let u(n) = -n + 1. Let y(j) = j**3 + 16*j**2 + 14*j - 14. Let g be y(-15). Let z(b) = g*v(b) + 6*u(b). Solve z(m) = 0 for m.
-1, 3
Let y be (-4)/35*-1*(-98)/(-28). Let q(v) be the second derivative of -1/5*v**3 - v + 0 - y*v**2 - 1/30*v**4. Factor q(r).
-2*(r + 1)*(r + 2)/5
Let j be 4 - ((-208)/(-78))/((-4)/174). Let u be (j/14)/((-5)/(-35)). Factor 125/4 + 16*p**3 + u*p**2 + 75*p.
(4*p + 5)**3/4
Determine q, given that -75/2*q**2 + 25/2*q**3 + 6 - 2*q = 0.
-2/5, 2/5, 3
Let y(s) be the second derivative of 0 + 2/21*s**7 - 32*s**3 + 47/5*s**5 - 16*s + 128*s**2 - 8/5*s**6 - 52/3*s**4. Suppose y(a) = 0. Calculate a.
-1, 1, 4
Suppose -2*w = -3*n - 0*n + 8, -3*w = 2*n - 14. Let p = 580 + -563. Solve -174*j - 16*j**3 + 170*j - 16*j**4 - n*j**5 + 9*j**3 - 16*j**2 - p*j**3 = 0 for j.
-1, 0
Let w = -1539 + 13853/9. Factor w*h**3 + 4/9 - 4/9*h**2 - 2/9*h.
2*(h - 2)*(h - 1)*(h + 1)/9
Suppose 3*b = h + 9, 0 = -b + 2*b - h - 5. Suppose -r = -5, 9 = -2*c - b*r + 51. Factor -2*u**2 + 10*u**5 - 6*u**3 - 4*u**5 - c*u**4 + 2*u**2.
2*u**3*(u - 3)*(3*u + 1)
Let w(a) be the second derivative of a**2 - 2/9*a**3 + 1/54*a**4 + 0 - 6*a. Factor w(z).
2*(z - 3)**2/9
Suppose 7*o + 3*t + 7 = 5*o, 0 = -o + 3*t + 19. Let f(q) be the third derivative of 1/270*q**5 + 0*q + 1/3*q**3 + 2*q**2 + 0 - 1/18*q**o. Factor f(g).
2*(g - 3)**2/9
Let l = -733 - -733. Factor 0*d**2 + l - 2/5*d**3 + 2/5*d.
-2*d*(d - 1)*(d + 1)/5
Factor 1/2*r**2 + 9 - 9/2*r.
(r - 6)*(r - 3)/2
Let y(p) = p**4 - p**3 + 2*p**2. Let a(m) = -m**5 - 10*m**4 + 17*m**3 - 20*m**2 - 5*m - 3. Let j(n) = 2*a(n) + 22*y(n). Find w, given that j(w) = 0.
-1, 1, 3
Let q(x) = 5*x - 63. Let d be q(0). Let t = -61 - d. Factor -t - 1/2*p**2 - 2*p.
-(p + 2)**2/2
Let m = 15 + -25. Let b(o) = o**2 + 10*o + 2. Let t be b(m). Factor c**2 + 2*c**t - 3*c + c - 4*c.
3*c*(c - 2)
Let w(g) be the first derivative of -9*g**4/4 + 11*g**3/7 + 27*g**2/14 + 3*g/7 - 1005. What is y in w(y) = 0?
-1/3, -1/7, 1
Let v(i) be the second derivative of -1/48*i**4 + 0*i**2 + 34*i - 1/12*i**3 + 0 + 1/80*i**5. Factor v(s).
s*(s - 2)*(s + 1)/4
Solve -3/2 - 4*q**3 - 49/4*q - 26*q**2 = 0 for q.
-6, -1/4
Let j(o) = -o**3. Suppose 0 = -u + 22 - 32. Let q(p) = -p**3 - p**2. Let h(d) = u*j(d) + 5*q(d). Factor h(k).
5*k**2*(k - 1)
Let z(a) = -a**4 + 27*a**3 - 65*a**2 + 53*a - 18. Let x(f) = 15*f**4 - 432*f**3 + 1041*f**2 - 846*f + 288. Let j(i) = 2*x(i) + 33*z(i). Factor j(d).
-3*(d - 6)*(d - 1)**3
Let t = 3933 - 15731/4. Suppose 0 = 2*i + i. Factor t*m**3 + 0*m + i - 1/4*m**5 + 1/4*m**2 - 1/4*m**4.
-m**2*(m - 1)*(m + 1)**2/4
Let g(s) be the first derivative of -s**4/7 + 92*s**3/21 - 12*s**2 + 194. Let g(z) = 0. Calculate z.
0, 2, 21
Suppose 3*a = 9, -w - 3*a + 9 = -0. Let i be (7/((-84)/(-8)))/(3 + w). What is b in i*b**2 + 0 + 4/9*b = 0?
-2, 0
Let m(g) = -g + 9. Let n be m(4). Suppose -74*r**3 + 12*r**n + 20*r**3 + 12*r + 30*r**3 + 8 + 8*r**4 - 16*r**2 = 0. What is r?
-1, -2/3, 1
Suppose 10*s**2 + 84*s + 1/3*s**3 + 392/3 = 0. Calculate s.
-14, -2
Let 155 + 30 + 2*p**3 - 48*p**2 + 491 + 234*p = 0. What is p?
-2, 13
Suppose -9*s + 28 = -5*s. Let c be 24/42 + 10/s. Find n such that 64/7*n + 32/7*n**c - 8/7*n**3 + 32/7 - 2/7*n**5 - 10/7*n**4 = 0.
-2, -1, 2
Suppose -4*r + 5*r - 30 = 0. Let f be (4/r)/(1/20). Factor -f*q + 0 - 2/3*q**3 + 8/3*q**2.
-2*q*(q - 2)**2/3
Let n(m) = -6*m**5 + 6*m**4 - 6*m**3 - 29*m**2 - 11*m - 5. Let v(a) = a**5 + a**3 + a**2 - a + 1. Let z = -61 - -76. Let u(t) = z*v(t) + 3*n(t). Factor u(y).
-3*y*(y - 4)**2*(y + 1)**2
Let v = -13241 + 39724/3. Factor 2/3*b - 1/3 - v*b**2.
-(b - 1)**2/3
Let n(k) = -2*k**3 - 8*k**2 + 6*k - 9. Let j(d) = -d**2 - 1. Suppose -2*z = -7*z - 90. Let m(o) = z*j(o) + 2*n(o). Factor m(v).
-2*v*(v - 2)*(2*v + 3)
Let v(h) be the second derivative of 0 - 21*h + 1/78*h**4 + 1/130*h**5 + 0*h**3 + 0*h**2. Factor v(y).
2*y**2*(y + 1)/13
Let t(h) be the first derivative of 2*h**5/225 + 11*h**4/180 - h**3/15 + 2*h**2 + 17. Let l(j) be the second derivative of t(j). Let l(c) = 0. What is c?
-3, 1/4
Let x = 551/660 + -9/11. Let p(z) be the third derivative of 0*z + 1/900*z**6 + 0 + 0*z**5 - 2/45*z**3 - x*z**4 - z**2. Suppose p(i) = 0. What is i?
-1, 2
Suppose 14*p = 5*p. Suppose -h - 3*m - 3 = -p*h, 3*h - 5*m - 19 = 0. Factor 0 + 0*g + 1/3*g**2 - 1/6*g**h.
-g**2*(g - 2)/6
Find y, given that 1/2*y**4 + 46*y**3 + 2291/2*y**2 + 4004*y + 2904 = 0.
-44, -3, -1
Suppose 264*m - 258*m - 24 = 0. Factor -2/5*i + 0 - 8/5*i**m - 12/5*i**3 - 2/5*i**5 - 8/5*i**2.
-2*i*(i + 1)**4/5
Let q(k) be the first derivative of -3*k**5/5 - 15*k**4/4 - 3*k**3 + 15*k**2/2 + 12*k + 44. Factor q(s).
-3*(s - 1)*(s + 1)**2*(s + 4)
Let g = 4 + 3. Suppose -4*r + g*r = 12. Factor -3*w**5 - 5*w**5 + 16*w**r + 4*w**5.
-4*w**4*(w - 4)
Let q(k) = 322*k + 1932. Let z be q(-6). Let l be 2/5 - (-16)/(-90). Factor z + 4/9*x**2 - 2/9*x - l*x**3.
-2*x*(x - 1)**2/9
Let c = -70 - -75. Suppose -2*k = 10, -r + k - c = 3*k. Suppose 3/4*w - 19*w**2 + 9/2 - 5/4*w**r - 47/2*w**3 - 19/2*w**4 = 0. Calculate w.
-3, -1, 2/5
Let q be (-2)/4*5*-4. Let s be (-2)/(6/q - 1). Let h - 21*h**3 + 17*h**5 + 20*h**2 + 8*h**5 - 20*h**4 - s*h + 0*h**5 = 0. Calculate h.
-1, 0, 2/5, 1
Let g = -247 + 247. Let p be (-4)/22 + 39*(-28)/(-346