**2 + 1909 + 76*f + f**4 - 1889 + 18*f**3 - 22*f + f**4.
2*(f + 1)**2*(f + 2)*(f + 5)
Let j be 294/(-39) - 20*(-10)/25. Let b = -551/26 + 43/2. Solve j*n**2 + 0 + 2/13*n**3 + b*n = 0.
-2, -1, 0
Let d(a) be the second derivative of -a**8/1344 - a**7/168 - a**6/72 + 8*a**4/3 + 22*a. Let l(g) be the third derivative of d(g). Factor l(x).
-5*x*(x + 1)*(x + 2)
Factor 2/3*a**4 - 13/6*a**2 + 5/2*a**3 + 15/2 - 17/2*a.
(a - 1)*(a + 3)**2*(4*a - 5)/6
Let o(u) be the first derivative of -u**5/30 - u**4/3 - u**3 + 5*u**2/2 - 3. Let c(l) be the second derivative of o(l). Suppose c(r) = 0. Calculate r.
-3, -1
Suppose 7*t - 2*t = 2*i - 10, 0 = -2*i - 10. Let r(c) = -c - 2. Let v be r(t). Determine s so that 7 - 24*s + 4 + 4 - 15*s**v - 3 = 0.
-2, 2/5
Let y be -1 - (-48)/(-64) - 3/((-3)/2). Find v such that 3/4 - y*v**2 + 1/2*v = 0.
-1, 3
Let b(c) be the second derivative of -c**5/300 + c**3/30 - 4*c**2 + 9*c. Let d(o) be the first derivative of b(o). Let d(s) = 0. Calculate s.
-1, 1
Let y(n) be the third derivative of n**9/60480 - n**7/10080 + n**4/4 + 5*n**2. Let b(i) be the second derivative of y(i). Determine h so that b(h) = 0.
-1, 0, 1
Let h(a) = -a**3 - 8*a**2 - 4*a. Let q(w) = w**3 - 2*w**2 - w. Let g(o) = h(o) - 4*q(o). Factor g(x).
-5*x**3
Let n(u) be the first derivative of -5*u**4/16 + 5*u**2/8 - 26. What is b in n(b) = 0?
-1, 0, 1
Let u be (4 - 1)*(400/(-12))/(-10). Let i be (2/15)/(u/60). Factor 6/5*x - i*x**3 + 2/5 - 2/5*x**5 + 4/5*x**2 - 6/5*x**4.
-2*(x - 1)*(x + 1)**4/5
Let q(l) be the first derivative of 1/2*l**2 - 25 - 1/3*l - 1/3*l**3 + 1/12*l**4. Determine j, given that q(j) = 0.
1
Let s(g) = 2*g**3 - 19*g**2 - 7*g - 19. Let p be s(10). Suppose -p*h + 12*h = -5*z + 22, 4*h - 4*z + 8 = 0. Let -8/9*q - 2/9*q**h - 2/3 = 0. What is q?
-3, -1
Let v(x) be the third derivative of x**5/210 + 9*x**4/28 + 176*x**2. Suppose v(h) = 0. Calculate h.
-27, 0
Let j = 89593/2 - 44795. Suppose 3/2*u**2 + 0 - 3/4*u**5 - j*u**4 + 0*u + 3/4*u**3 = 0. What is u?
-2, -1, 0, 1
Let u(h) = -3*h + 6. Let i be u(0). Suppose -16 = -i*g + 8. Let 2/13*q**3 - 4/13 - 2/13*q + 6/13*q**2 - 2/13*q**g = 0. What is q?
-1, 1, 2
Let t be (7/(-3))/(910/(-780)). Factor 5/4*r**t + 5/2*r + 5/4.
5*(r + 1)**2/4
Let d be 435 - 5*3/15. Let -434 - 5*k**3 + d = 0. What is k?
0
Let h(b) be the third derivative of -b**6/120 - b**5/15 + 55*b**4/24 - 25*b**3/3 - 584*b**2. Let h(s) = 0. Calculate s.
-10, 1, 5
Suppose -166*z + 27*z = -278. Factor 2/9*m**z + 28/9*m + 98/9.
2*(m + 7)**2/9
Let c(l) be the first derivative of l**6/300 - l**5/30 - l**4/60 + l**3/3 - 10*l**2 + 8. Let a(j) be the second derivative of c(j). Factor a(r).
2*(r - 5)*(r - 1)*(r + 1)/5
Let -772*m**3 - 25*m**4 - 4*m**5 + m**4 - 6400 - 3376*m**2 - 51*m**4 + 18*m**4 - 7360*m - 31*m**4 = 0. What is m?
-5, -4
Solve 1/2*h**2 + 1/12*h**5 - 1/12*h**3 + 0 - 1/2*h**4 + 0*h = 0.
-1, 0, 1, 6
Suppose 0 = -3*u + 5*x + 5, -4*u + 2*u + 2*x = -14. Suppose u*i**2 + 10/3 - 35/3*i - 25/3*i**3 + 5/3*i**4 = 0. What is i?
1, 2
Suppose 5*k + 4*f = -256 - 348, 2*f - 8 = 0. Let v = k - -622/5. Factor v*t + 1/5*t**2 + 0.
t*(t + 2)/5
Let h(w) be the third derivative of 4/21*w**3 + 0*w - 3*w**2 + 1/840*w**6 + 1/70*w**5 + 0 - 5/56*w**4. What is k in h(k) = 0?
-8, 1
Let c(p) be the second derivative of -p**5/10 + 14*p**4/3 - 47*p**3 + 198*p**2 - 5*p - 16. Factor c(b).
-2*(b - 22)*(b - 3)**2
Let w(o) = o**3 - 3*o**2 - o - 6. Let z be w(4). Let h(d) be the third derivative of d**2 + 0*d**5 + 0*d**3 + 0*d + 0 + 1/72*d**4 - 1/360*d**z. Factor h(y).
-y*(y - 1)*(y + 1)/3
Let c(x) be the third derivative of -x**8/3360 - x**7/336 - x**6/120 - x**5/60 - 9*x**2. Let y(o) be the third derivative of c(o). Suppose y(t) = 0. What is t?
-2, -1/2
Let x(d) be the second derivative of -d**8/1680 + d**7/630 + d**4/6 + 8*d. Let c(g) be the third derivative of x(g). Find y, given that c(y) = 0.
0, 1
Let q(l) = 49*l**2 - 32*l + 4. Let h(a) = a. Suppose 5*g + 12 + 0 = r, 3*r - 5*g = 6. Let x(f) = r*q(f) - 12*h(f). Factor x(w).
-3*(7*w - 2)**2
Factor -2 + 1/6*m**2 - 1/6*m.
(m - 4)*(m + 3)/6
Let b(d) be the third derivative of -5*d**8/168 - 134*d**7/735 - 31*d**6/140 + 61*d**5/105 + 29*d**4/21 + 8*d**3/7 + 40*d**2. Determine f, given that b(f) = 0.
-2, -3/7, -2/5, 1
Let m(c) be the second derivative of 1/50*c**5 + 0 + 0*c**2 - 1/5*c**3 - 1/15*c**4 + 9*c. Suppose m(t) = 0. Calculate t.
-1, 0, 3
Let a = -41 + 125. Factor -20*c**3 - 9*c**3 - 4*c**2 + 99*c**4 + 4*c - a*c**4.
c*(c - 2)*(3*c - 1)*(5*c + 2)
Suppose -2*p - 164*g = -160*g - 12, 0 = -p - g + 4. Factor 2/11*n**3 + p*n - 2/11*n**4 + 8/11 + 18/11*n**2.
-2*(n - 4)*(n + 1)**3/11
Find s, given that 0 - 26/3*s**3 + 2/3*s**4 - 32/3*s**2 + 56/3*s = 0.
-2, 0, 1, 14
What is i in -3/2 + 13/4*i + 2*i**2 = 0?
-2, 3/8
Let j(c) be the first derivative of c**6/1140 + c**5/285 + 13*c**2/2 - 21. Let i(l) be the second derivative of j(l). Suppose i(m) = 0. What is m?
-2, 0
Factor 0*h + 0 - 7*h**3 + 0*h**2 + 7/2*h**5 - 47/2*h**4.
h**3*(h - 7)*(7*h + 2)/2
Let q(k) be the first derivative of k**5 - 15*k**4/4 + 5*k**3 - 5*k**2/2 + 110. Determine p so that q(p) = 0.
0, 1
Let r = -32 + 36. Let j be (4/(-42)*-3)/(3/21). Suppose -2/9 - 4/9*x + 0*x**j + 2/9*x**r + 4/9*x**3 = 0. Calculate x.
-1, 1
Let b(i) be the third derivative of -7*i**2 + 0*i - i**3 + 0 - 1/15*i**4 + 2/75*i**5 + 1/180*i**6. Let p(z) be the first derivative of b(z). Factor p(q).
2*(q + 2)*(5*q - 2)/5
Suppose 3484*w - 264 = 3396*w. Find o, given that 1/2*o**w + 18*o + 0 + 6*o**2 = 0.
-6, 0
Let m be 0/(-3*8/24). Let -5/7*s**2 + 2/7*s + m = 0. Calculate s.
0, 2/5
Suppose -f = f. Let o(z) = 3*z - 51. Let r be o(18). Factor f + 2 + 0*t - t**2 - r + 2*t.
-(t - 1)**2
Factor -2 - 1/5*p**2 - 7/5*p.
-(p + 2)*(p + 5)/5
Let r(n) = -6*n**2 - 31*n - 319. Let v(s) = 7*s**2 + 30*s + 318. Let j(a) = -6*r(a) - 5*v(a). Factor j(f).
(f + 18)**2
Let q(f) be the third derivative of -f**8/10080 - f**7/360 - 41*f**5/60 + 4*f**2 + 2. Let z(t) be the third derivative of q(t). Factor z(g).
-2*g*(g + 7)
Suppose 2*x + 6*v - 9*v + 30 = 0, -2*x - 3*v = 42. Let g be x/(-36)*40/14. Factor 4/7*s**2 - 4/7 + g*s**3 - 10/7*s.
2*(s - 1)*(s + 1)*(5*s + 2)/7
Let x = 45 + -50. Let a(t) = t**2 + 6*t + 7. Let i be a(x). Factor 8/11 + 2/11*n**i - 8/11*n.
2*(n - 2)**2/11
Let m = -15 + 12. Let z(x) = -2*x**3 + 5*x**2 - 13*x + 7. Let g(d) = 2 + d**3 + 0*d**3 - 14*d + 4*d**2 - 3*d**3 + 6. Let j(p) = m*g(p) + 4*z(p). Factor j(t).
-2*(t - 2)*(t - 1)**2
Factor -368/3*i - 1/3*i**4 - 80 - 64*i**2 - 12*i**3.
-(i + 2)**3*(i + 30)/3
Let p(a) = -a**2 - 6*a - 6. Let x be p(-2). Solve 4*d**3 - 30*d - 3 + 4 - 10*d**3 + 8 + 27*d**x = 0 for d.
1/2, 1, 3
Let b(m) = 6*m**3 + 3*m**2 + 21*m - 18. Let n(a) = -3*a**3 - 2*a**2 - 21*a + 18. Let p(c) = -2*b(c) - 3*n(c). What is w in p(w) = 0?
-3, 1, 2
Let m be (-4)/2*(-1 - 9/(-18)). Let s(j) be the first derivative of -2/51*j**3 - 1/51*j**6 + 1/34*j**4 + 0*j**2 + 0*j + 2/85*j**5 + m. Factor s(i).
-2*i**2*(i - 1)**2*(i + 1)/17
Let t(j) be the first derivative of j**7/2100 - 7*j**3 - 7. Let i(b) be the third derivative of t(b). Factor i(d).
2*d**3/5
Suppose 9*d = 8*d - 5*x + 20, 0 = 5*d + x - 4. Factor -4/5*p**2 + 4/5*p**4 + 0 - 2/5*p + d*p**3 + 2/5*p**5.
2*p*(p - 1)*(p + 1)**3/5
Let p(k) be the third derivative of 0 + 0*k + 1/15*k**4 - 2/15*k**3 - 1/75*k**5 + 3*k**2. Factor p(g).
-4*(g - 1)**2/5
Let p(f) be the third derivative of -5*f**8/1008 - 11*f**7/126 - 19*f**6/72 - f**5/4 + 26*f**2 + 13. Find w such that p(w) = 0.
-9, -1, 0
Suppose -1047 + 1083 = 9*v. Let g(u) be the third derivative of -1/3*u**v - 4/3*u**3 + 0*u - 1/30*u**5 - 6*u**2 + 0. What is c in g(c) = 0?
-2
Let j(i) be the first derivative of 2*i**5/35 - 19*i**4/14 + 66*i**3/7 - 81*i**2/7 + 63. Factor j(p).
2*p*(p - 9)**2*(p - 1)/7
Let k(w) be the first derivative of 3*w**4/32 + 5*w**3/8 + 25*w**2/16 - 33*w - 32. Let z(l) be the first derivative of k(l). Factor z(x).
(3*x + 5)**2/8
Let x be (536/24 + -24)*126/(-50). What is a in -2/5 - 5/2*a - 9/10*a**3 - x*a**2 = 0?
-4, -1/3
Let u(g) = -345*g**3 - 320*g**2 + 57*g + 34. Let w(z) = z + 2. Let r(t) = -u(t) + 2*w(t). What is l in r(l) = 0?
-1, -6/23, 1/3
Factor -10*b**2 - 350/9*b + 2/9*b**4 + 0 + 2/3*b**3.
2*b*(b - 7)*(b + 5)**2/9
Let 104*u**3 - 6*u**2 - 49*u**3 - 50*u**3 + 5*u**5 - 10*