p**5/54 - 2*p**4/27 - 4*p**3/27 + 31*p**2 - 2. Factor t(b).
-2*(b + 1)*(b + 2)**2/9
Factor 1/2*z**2 - 3*z + 0 - 1/2*z**4 + 3*z**3.
-z*(z - 6)*(z - 1)*(z + 1)/2
Let x(w) be the third derivative of 0*w + 0 - 1/4*w**5 + 40*w**2 + 1/24*w**6 + 0*w**4 + 0*w**3. What is d in x(d) = 0?
0, 3
Suppose 0 + 3/7*m - 3/7*m**2 = 0. Calculate m.
0, 1
Let t be 10*(-25 + 42086/1694)*(-42)/4. Factor t*n + 162/11 + 50/11*n**2.
2*(5*n + 9)**2/11
Let z(s) be the second derivative of s**5/90 - 5*s**4/18 + 25*s**3/9 + 2*s**2 + s. Let a(h) be the first derivative of z(h). Factor a(p).
2*(p - 5)**2/3
Suppose 8081 = -26*w - 14175. Let y = -6833/8 - w. What is x in 3/2 - 3*x - 3/8*x**3 + y*x**2 = 0?
1, 2
Let p(n) be the first derivative of -18 + 20*n - 12*n**2 + 4/3*n**3. Factor p(h).
4*(h - 5)*(h - 1)
Let a = 688 + -684. Let d(m) be the third derivative of 0 + 2/9*m**3 - 6*m**2 + 1/90*m**5 + 0*m + 1/12*m**a. Determine x so that d(x) = 0.
-2, -1
Let v(t) be the third derivative of 1/10*t**5 - 1/6*t**4 + 0*t**3 - 1/60*t**6 + 0*t + 0 + 11*t**2. Factor v(g).
-2*g*(g - 2)*(g - 1)
Let l(v) = 5*v - 1. Let y(q) = -q**2 - 8*q + 1. Let n be y(-8). Let h be l(n). Factor -3*f**2 - 2*f**3 - 6*f**h + 5*f**2 + f**4 + 2*f**5 + 3*f**4.
2*f**2*(f - 1)**2*(f + 1)
Let w(o) = -o**3 + 3*o**2. Let v be w(3). Let f(m) be the second derivative of -3/40*m**5 + v - 1/12*m**3 + 0*m**2 + 4*m + 1/60*m**6 + 1/8*m**4. Factor f(q).
q*(q - 1)**3/2
Let s(i) be the second derivative of -i**7/14 - 3*i**6/10 - 3*i**5/10 - 87*i. Find p, given that s(p) = 0.
-2, -1, 0
Let f = -1170 + 1170. Factor -d**3 + 1/2*d + 0*d**2 + f*d**4 + 0 + 1/2*d**5.
d*(d - 1)**2*(d + 1)**2/2
Let l(o) = -7*o**3 - 12*o**2 + 22*o + 49. Let c(f) = -4*f**3 - 6*f**2 + 12*f + 26. Let q(n) = 11*c(n) - 6*l(n). Let q(h) = 0. What is h?
-1, 2
Let z(x) be the second derivative of -1/4*x**5 + 5/6*x**3 + 9*x + 0 - 5/12*x**4 + 5/2*x**2. Suppose z(r) = 0. Calculate r.
-1, 1
Let u = -63/289 + 9437/867. Let -488/3*q**2 + 80*q + 196/3*q**4 - u + 28*q**3 = 0. Calculate q.
-2, 2/7, 1
Let v(m) be the third derivative of m**8/33600 + m**7/2100 + m**6/300 + m**5/4 + 4*m**2. Let y(d) be the third derivative of v(d). Determine a so that y(a) = 0.
-2
Let q = -27 + 29. Let f be (-5)/(-5) - (q/5 + 0). Solve 3/5 + f*z**2 - 6/5*z = 0.
1
Let r(w) be the third derivative of -1/80*w**5 - 1/840*w**7 - 1/120*w**6 + 0*w**4 - 25*w**2 + 0*w**3 + 0 + 0*w. Factor r(u).
-u**2*(u + 1)*(u + 3)/4
Let h(l) be the first derivative of -l**6/8 + 4*l**5/5 - 17*l**4/16 + l**3/3 + 15. Let h(n) = 0. Calculate n.
0, 1/3, 1, 4
Let l = 26255 + -26253. Find p, given that -1/2*p**5 - 3*p**3 - l*p**2 - 2*p**4 + 0 - 1/2*p = 0.
-1, 0
Let q(y) = -y**3 + y - 2. Let v be q(-2). Solve i**4 - 7*i**2 + 3 - i**4 + i**2 + 3*i**v = 0 for i.
-1, 1
Let r be 2/3*(-1 - (-3 + -1)). Let b be ((1 - 2) + 8)*4/14. Factor 0 - 5/2*l**b + l + r*l**3 - 1/2*l**4.
-l*(l - 2)*(l - 1)**2/2
Factor -8/3*j**3 + 0*j - 4/3*j**2 - 1/3*j**5 - 5/3*j**4 + 0.
-j**2*(j + 1)*(j + 2)**2/3
Let r(y) = y**3 + 8*y**2 - 20*y + 17. Let x be r(-10). Factor -10*z - x*z**2 - 9*z**2 + 45*z**2 - 14*z**2.
5*z*(z - 2)
Let j(n) = -2*n**3 + 170*n**2 + 2506*n + 6084. Let b(f) = -f**3 + 169*f**2 + 2504*f + 6084. Let z(v) = -5*b(v) + 4*j(v). Factor z(r).
-3*(r + 3)*(r + 26)**2
Let n(m) = -7*m**3 - 576*m**2 - 41462*m - 10. Let x(g) = -3*g**3 - 288*g**2 - 20732*g - 4. Let q(f) = 2*n(f) - 5*x(f). Let q(v) = 0. Calculate v.
-144, 0
Let w(k) be the second derivative of -k**4/24 + k**3/4 - k - 13. Find o such that w(o) = 0.
0, 3
Let t = -183/13 + 3673/260. Let y(z) be the second derivative of 1/10*z**3 + t*z**4 + 0 - 3/5*z**2 + 8*z. Factor y(o).
3*(o - 1)*(o + 2)/5
Let x(v) be the first derivative of 1/32*v**4 - 1/16*v**2 + 0*v + 0*v**3 + 7. Factor x(q).
q*(q - 1)*(q + 1)/8
Let q(z) = -2*z**2 - 7*z - 1. Let a be q(-2). Let n(b) be the third derivative of 0 + 1/60*b**a + 9*b**2 + 0*b + 0*b**3 + 0*b**4. Let n(f) = 0. Calculate f.
0
Let z be (10/(-7) - 2)/((-6)/63). Let d = z + -36. Factor d*h + 0 + 2/9*h**2 - 2/9*h**3.
-2*h**2*(h - 1)/9
Let k = -11 + 15. Suppose -2 - k = -2*t. Factor -3 - 4*n**2 - n**3 + n + 5 + t*n**2 - 1.
-(n - 1)*(n + 1)**2
Let i(t) be the first derivative of -t**4/6 - 4*t**3/3 + 64*t/3 + 29. Factor i(g).
-2*(g - 2)*(g + 4)**2/3
Let w(h) = 97*h**3 - 10074*h**2 + 8013*h - 1597. Let i(a) = -98*a**3 + 10076*a**2 - 8014*a + 1598. Let f(k) = 3*i(k) + 2*w(k). Solve f(v) = 0 for v.
2/5, 100
Let x(a) be the third derivative of -2*a**5/15 + 37*a**4/6 - 12*a**3 - 25*a**2. Find l such that x(l) = 0.
1/2, 18
Let q(r) be the first derivative of -r**6/900 + r**5/150 + 2*r**4/15 - 26*r**3/3 + 5. Let g(l) be the third derivative of q(l). Determine x so that g(x) = 0.
-2, 4
Let t(w) be the third derivative of w**5/30 + 27*w**4 + 8748*w**3 - 236*w**2. Factor t(n).
2*(n + 162)**2
Let u(i) be the second derivative of i**7/420 + i**6/60 - i**5/10 - 2*i**4/3 - 8*i**3/3 - 16*i. Let s(p) be the second derivative of u(p). Factor s(w).
2*(w - 2)*(w + 1)*(w + 4)
Suppose 2*q + 2*q - 3*o = 106, 3*q + 2*o - 71 = 0. Let p = 28 - q. Solve -4*w**2 + p*w**3 + w**2 + 12*w - 12*w = 0 for w.
0, 1
Let c(a) be the second derivative of a**5/60 + a**4/9 - 11*a**3/18 + a**2 + 5*a + 2. Let c(q) = 0. What is q?
-6, 1
Let x(p) be the first derivative of p**3/15 + 11*p**2/10 + 18*p/5 + 83. Factor x(l).
(l + 2)*(l + 9)/5
Let y = 548 - 389. Let s = -792/5 + y. Factor -s*u - 6/5*u**2 + 0.
-3*u*(2*u + 1)/5
Let 77*w - 4*w**3 - 3*w**2 - 63*w + 0*w**3 + 3 + 10*w**2 = 0. Calculate w.
-1, -1/4, 3
Let s be (-1)/(-4) - (-168)/(-800). Let a(g) be the first derivative of -1 - s*g**5 + 1/20*g**4 - 2/5*g - 1/10*g**2 + 1/5*g**3. Let a(i) = 0. Calculate i.
-1, 1, 2
Determine t so that -78/5*t - 2/5*t**3 - 54/5 - 26/5*t**2 = 0.
-9, -3, -1
Let m = -7 + 10. Let -33*l**2 + l + 12*l**5 - 2*l - 36*l**3 - 4*l - l + m*l**4 = 0. Calculate l.
-1, -1/4, 0, 2
Let t(x) = -12*x**2 + 12*x - 9. Let p(a) = a**2 - a + 1. Let h(c) = 9*p(c) + t(c). Factor h(z).
-3*z*(z - 1)
Suppose -11 = -3*j + 2*k, 4*k = 4*j - 7*j + 5. Let s(z) be the first derivative of 2/3*z**j - 1 - z**2 - 2/5*z**5 + 0*z + 1/2*z**4. Factor s(h).
-2*h*(h - 1)**2*(h + 1)
Let i(w) be the first derivative of -27 + 1/18*w**3 - 4/3*w**2 + 32/3*w. Factor i(r).
(r - 8)**2/6
Let s be -12 + -1 + (-17)/(-17). Let q be -3*1*8/s. Solve -1/4*z**3 + 0 + 0*z + z**5 + 0*z**q + 3/4*z**4 = 0.
-1, 0, 1/4
Let z be (-7 - -7)/(12/2 + -3). Determine l, given that 0*l**4 + 0*l + z*l**3 + 0*l**2 + 0 - 3/2*l**5 = 0.
0
Let k(a) = -10*a**2 + 61*a. Let m(y) = 2*y**2 - 12*y. Let d be (4/8)/(2/(-8)). Let p(z) = d*k(z) - 11*m(z). Factor p(f).
-2*f*(f - 5)
Let p be ((-3)/(-2))/(528/1216). Suppose 4/11*h - p*h**2 + 108/11*h**4 + 6/11*h**3 + 0 = 0. Calculate h.
-2/3, 0, 1/9, 1/2
Factor -1/10*g**4 + 5*g - 1/2*g**2 - 4/5*g**3 + 0.
-g*(g - 2)*(g + 5)**2/10
Let r(d) = d**2 + 61*d - 11060. Let f be r(79). Suppose 0 = c + 3*i - 5*i - 5, 3*c - 13 = 4*i. Factor 0*p - 6/5*p**c + f + 2/5*p**2.
-2*p**2*(3*p - 1)/5
Let k = -36/7 + 1159/224. Let x(b) be the third derivative of -k*b**4 + b**2 + 0 + 0*b + 1/80*b**5 - 1/4*b**3. Factor x(r).
3*(r - 2)*(r + 1)/4
Let -4/9*b**2 + 0 + 0*b - 2/3*b**4 - 10/9*b**3 = 0. What is b?
-1, -2/3, 0
Let n = -13 - -18. Suppose 3*v - 15 = -3*d, -2*v - 13 = -n*d - v. Determine r, given that r**2 + d - r - 4*r**3 + 7*r - 2*r - 4 = 0.
-1, 1/4, 1
Let s(i) = i**3 + 13*i**2 + 11*i - 10. Let m = -20 - -8. Let p be s(m). Factor 3*f**2 - 2*f + 1 + 0 + f**2 - 3*f**p.
(f - 1)**2
Suppose 0 = -4*a + 4*k + 284, 3*k - 5 = 4. Let t = 816/11 - a. Solve -t*z - 1/11*z**2 - 1/11 = 0.
-1
Let a(i) be the second derivative of i**7/14 - 7*i**6/5 + 27*i**5/5 + 54*i**4 - 432*i**3 - 81*i. Solve a(u) = 0.
-4, 0, 6
Let w(f) be the second derivative of f**6/6 + 13*f**5/4 + 95*f**4/4 + 475*f**3/6 + 125*f**2 - f - 1. Factor w(a).
5*(a + 1)*(a + 2)*(a + 5)**2
Let p(d) = d**3 - 13*d**2 - 45*d + 227. Let n be p(15). Factor -2/3*l**n - 2 + 8/3*l.
-2*(l - 3)*(l - 1)/3
Let g(s) be the first derivative of 4/27*s**3 + 0*s**2 - 1/18*s**4 + 0*s - 2/45*s**5 + 23. Factor g(z).
-2*z**2*(z - 1)*(z + 2)/9
Let d be (-4)/26 - (-3 + (-405)/(-156)). Suppose -g = -2*g - w + 6, -22 = -5*g - 3*w. Factor 1/4*j**g + 0 + d*j.
j*(j + 1)/4
Let h(d) = 3*d**3 + 12*d**2 - 20*d - 42. Let z(l) = -80*l**3 - 325*l**2 + 540*l 