*4/3 + 8*o**3/9 + 2*o**2/3 - 2*o + 56. Solve b(m) = 0 for m.
-3, -1, 1
Factor 164*s**3 - 150*s**3 - 9*s + 16 + 35*s**2 + 49*s + s**2 + 2*s**4.
2*(s + 1)*(s + 2)**3
Solve 8/13*q - 2/13*q**3 + 2/13*q**4 - 20/13*q**2 + 48/13 = 0 for q.
-2, 2, 3
Let v = -452 - -1357/3. Let p(n) be the first derivative of -v*n**2 - 1/3*n + 2 - 1/9*n**3. Solve p(t) = 0.
-1
Let a(b) = -2*b**5 + 12*b**4 + 44*b**3 + 56*b**2 + 14*b - 4. Let d(n) = -n**3 + n**2 - n - 1. Let g(r) = a(r) - 4*d(r). Determine y, given that g(y) = 0.
-1, 0, 9
Let y(g) = -g**3 + 19*g**2 - 19*g + 5. Let j(t) = -18 + 5*t**3 - 115*t**2 - 12 - 1573*t + 1688*t. Let f(c) = 4*j(c) + 25*y(c). Factor f(w).
-5*(w - 1)**3
Let r(j) be the first derivative of -5*j**6/6 + 10*j**5 - 155*j**4/4 + 50*j**3 + 69. Suppose r(t) = 0. What is t?
0, 2, 3, 5
Let k(a) be the second derivative of a**5/170 + a**4/6 + 21*a**3/17 - 81*a**2/17 - 6*a + 38. Factor k(n).
2*(n - 1)*(n + 9)**2/17
Let j be 5 + 1 + 6/((-6)/3). Factor 2*f**4 - 9*f**3 - f**j + 5*f**3 + 7*f**3.
2*f**3*(f + 1)
Let q(f) be the second derivative of -17/3*f**4 + 26/3*f**3 - 17/5*f**5 + 8/21*f**7 + 26/15*f**6 + 8*f**2 + 39*f + 0. Solve q(w) = 0.
-4, -1, -1/4, 1
Let s(l) be the second derivative of -l**5/90 - 7*l**4/27 - 19*l**3/9 - 8*l**2 - 679*l. Determine i so that s(i) = 0.
-8, -3
Let k = -323/14 - -165/7. Let t(r) = r - 2. Let z be t(5). Let 0*v + 1/2*v**4 + k*v**2 + 0 + v**z = 0. What is v?
-1, 0
Let d(t) be the third derivative of t**8/420 - t**7/210 - t**6/90 + t**5/30 + 11*t**3/3 - 27*t**2. Let g(u) be the first derivative of d(u). Factor g(i).
4*i*(i - 1)**2*(i + 1)
Let m = 2/5829 - -15542/5829. Factor -m*y - 8/3 + 2*y**2.
2*(y - 2)*(3*y + 2)/3
Let j(b) be the second derivative of -b**6/10 - 3*b**5/20 + 41*b. Find i, given that j(i) = 0.
-1, 0
Let m(a) be the second derivative of a**9/34020 + a**8/7560 + a**7/5670 + a**4/4 + 16*a. Let i(x) be the third derivative of m(x). Factor i(y).
4*y**2*(y + 1)**2/9
Let b(y) = -4*y + 43. Let g be b(10). Factor 2*u**2 - 6*u - 3*u**2 + 2*u**2 + g*u**3 - 4*u**2.
3*u*(u - 2)*(u + 1)
Let r be (-436)/(-6)*(6/8 + 0). Let t = -50 + r. Factor -t - 6*l - 3/2*l**2.
-3*(l + 1)*(l + 3)/2
Let f = 2608 + -2606. Let -1 - 3/4*h + 1/4*h**f = 0. What is h?
-1, 4
Let -2/9 + 8/9*w**3 + 0*w**2 - 2/3*w = 0. What is w?
-1/2, 1
Let k(l) be the second derivative of 0*l**2 + 1/100*l**5 + 5/6*l**3 + 28*l + 0 + 1/6*l**4. Suppose k(o) = 0. Calculate o.
-5, 0
Let h(x) be the second derivative of -x**7/490 + 3*x**6/280 - x**5/70 + x**2/2 + 12*x. Let d(z) be the first derivative of h(z). Factor d(b).
-3*b**2*(b - 2)*(b - 1)/7
Let h(c) be the first derivative of -c**6/3 + 4*c**5/5 + 19*c**4/2 - 136*c**3/3 + 60*c**2 + 470. What is u in h(u) = 0?
-5, 0, 2, 3
Factor 36/13*z**3 + 4/13*z**4 + 46/13*z + 12/13 - 2/13*z**5 + 64/13*z**2.
-2*(z - 6)*(z + 1)**4/13
Let i be ((-7)/36)/(30/(-18)). Let u(j) be the third derivative of -4*j**2 + 0*j + 2/15*j**3 + i*j**4 + 1/30*j**5 + 0. Factor u(a).
2*(a + 1)*(5*a + 2)/5
Let p be (-6 - (-48)/8)/2. Let x(a) be the second derivative of p + 0*a**3 - 1/8*a**4 + 3/4*a**2 - 4*a. Factor x(j).
-3*(j - 1)*(j + 1)/2
Let o(w) = 1995*w**3 + 12*w + 9*w**2 + 2*w - 1991*w**3. Let x(g) = 3*g**3 + 9*g**2 + 12*g. Let s(j) = 2*o(j) - 3*x(j). Factor s(p).
-p*(p + 1)*(p + 8)
Let j = -977 - -980. Let x(a) be the first derivative of 3/4*a**4 - 3 + 7/4*a**j + 3/4*a**2 - 3/4*a. Factor x(t).
3*(t + 1)**2*(4*t - 1)/4
Let b = -27 + 30. Let v be 4/8*b/6. Factor v*m**3 + 0*m + 0 + 0*m**2.
m**3/4
Suppose j + 40 = 3*j. Factor -19*n**3 - j*n + 2*n**3 + 32*n**2 - 8*n**3 - 35*n**4 + 48*n**2.
-5*n*(n - 1)*(n + 2)*(7*n - 2)
Let t(q) = -q**4 + q - 1. Let n(i) = -i**4 + 123*i**3 + 1755*i**2 + 9637*i + 13178. Let j(u) = -n(u) + 4*t(u). Suppose j(o) = 0. Calculate o.
-13, -2
Factor -96/7 - 2/7*m**3 + 52/7*m + 46/7*m**2.
-2*(m - 24)*(m - 1)*(m + 2)/7
Let x(f) be the third derivative of 1/105*f**7 + 1/20*f**6 + 1/15*f**5 + 0*f**3 + 0*f**4 + 0*f + 0 + 42*f**2. Let x(t) = 0. What is t?
-2, -1, 0
Let r(i) be the first derivative of i**2 - 15*i + 11*i**3 + 12 - 12*i**3 + 16*i. What is f in r(f) = 0?
-1/3, 1
Let c(i) be the third derivative of i**6/30 + 19*i**5/60 + 11*i**4/24 - 2*i**3/3 - 2*i**2 - 2*i. Factor c(z).
(z + 1)*(z + 4)*(4*z - 1)
Let v(o) be the second derivative of -o**7/147 + 8*o**6/105 - 3*o**5/35 - 20*o**4/21 - 25*o**3/21 + 54*o. Find g, given that v(g) = 0.
-1, 0, 5
Let k be (-8)/90*(-265)/159. Let p(d) be the first derivative of -2/9*d**4 + 3 + 4/9*d + 1/27*d**6 - k*d**3 + 0*d**5 + 1/3*d**2. Solve p(b) = 0 for b.
-1, 1, 2
Let m(o) be the third derivative of -o**7/13860 - o**6/3960 + o**5/330 - o**4/3 - 19*o**2. Let w(y) be the second derivative of m(y). Factor w(s).
-2*(s - 1)*(s + 2)/11
Let o = -3 - -3. Suppose o = -3*h - 4 - 2, d - 4 = 2*h. Factor -l**2 + d*l**2 + l**3 + l + l**4 - 2*l.
l*(l - 1)*(l + 1)**2
Let u = 56/265 - 3/265. What is m in u*m + 0 + 2/5*m**2 = 0?
-1/2, 0
Let d(k) be the second derivative of k**4/36 + 4*k**3/9 - 3*k**2/2 - 3*k + 16. Find w such that d(w) = 0.
-9, 1
Suppose -6/7*k**3 - 2/7*k**4 + 0 + 6/7*k + 2/7*k**2 = 0. Calculate k.
-3, -1, 0, 1
Let y = -2 + 22. Let 94*s**4 + 2*s**2 + 2*s**5 - 106*s**4 + 10*s**2 - 22*s**5 + y*s**3 = 0. Calculate s.
-1, -3/5, 0, 1
Let d(n) be the second derivative of n**6/135 + n**5/30 - 5*n**4/27 - 8*n**3/9 + 219*n. Let d(v) = 0. What is v?
-4, -2, 0, 3
Suppose 0 = -601*s + 596*s + 20. Let c(o) be the third derivative of 4*o**2 + 0 - 1/6*o**3 + 0*o + 1/60*o**5 - 1/240*o**6 + 1/48*o**s. Solve c(b) = 0 for b.
-1, 1, 2
Let g(h) be the third derivative of -h**7/420 - 3*h**6/80 + h**5/120 + 3*h**4/16 + 982*h**2. Factor g(l).
-l*(l - 1)*(l + 1)*(l + 9)/2
Let q(c) be the first derivative of -c**4 - 4*c**3 - 4*c**2 + 73. Factor q(f).
-4*f*(f + 1)*(f + 2)
Let r(c) be the third derivative of -31/15*c**4 - 4/175*c**7 - 11*c**2 - 199/150*c**5 - 19/60*c**6 + 0 + 0*c - 4/3*c**3. Let r(k) = 0. Calculate k.
-5, -2, -2/3, -1/4
Suppose -36 = -l - 4*d, -3*l = -4*d - 180 + 8. Let t be 91/l + 2/(-2). Let -t*h**2 - 27/4 + 9/2*h = 0. What is h?
3
Let a be 18/(-36)*(-12)/27. Suppose -2/9 - 2/9*b**4 - 4/9*b**3 + a*b**5 + 2/9*b + 4/9*b**2 = 0. What is b?
-1, 1
Suppose 3*p + 339 = 4*f + 6*p, 0 = 5*f - 2*p - 418. Suppose w - 4*w = -f. Determine r, given that -30 + w - 3*r - 3*r**2 + 2*r**2 = 0.
-2, -1
Let y(a) be the second derivative of -a**6/10 + 21*a**5/4 - 323*a**4/4 + 289*a**3/2 - 171*a. Suppose y(p) = 0. What is p?
0, 1, 17
Let j = 2724 - 2722. Let t(d) be the third derivative of 0*d**3 + 0 - 1/735*d**7 - 7*d**j + 0*d**4 + 0*d**5 - 1/420*d**6 + 0*d. Factor t(r).
-2*r**3*(r + 1)/7
Let j(c) be the third derivative of 1/54*c**4 + 14*c**2 + 0 + 0*c + 0*c**3 + 1/270*c**5. Find m, given that j(m) = 0.
-2, 0
Let m be 245/(-147)*2/(-25). Factor -4/15 + 2/15*t**4 + 2/3*t - 2/5*t**2 - m*t**3.
2*(t - 1)**3*(t + 2)/15
Factor 1/4*f**4 - 3*f**2 + 2*f**3 - 1/4*f**5 + 0*f + 0.
-f**2*(f - 2)**2*(f + 3)/4
Let q(s) = -s**5 + s**4 - s**2 + 1. Let y(u) = -20*u**5 + 42*u**4 - 36*u**3 + 6*u**2 - 2*u + 10. Let w(a) = 20*q(a) - 2*y(a). Factor w(f).
4*f*(f - 1)**3*(5*f - 1)
Let b = 6/331 - -1944/2317. Let b*g**2 - 4/7 + 2/7*g = 0. What is g?
-1, 2/3
Let y(t) = -2*t**2 - 15*t + 17. Let s(g) = 10*g**2 + 76*g - 86. Let w(q) = 3*s(q) + 14*y(q). Factor w(x).
2*(x - 1)*(x + 10)
Let o(a) be the third derivative of a**5/720 + a**4/16 - 5*a**3/9 + 24*a**2. Factor o(d).
(d - 2)*(d + 20)/12
Let x(c) = -6*c**2 + 147*c - 70. Let g be x(24). Factor 14/11*i**3 + 26/11*i - 12/11 + 52/11*i**g.
2*(i + 1)*(i + 3)*(7*i - 2)/11
Let z(i) = 19*i + 20. Let t be z(-6). Let m = -469/5 - t. Factor -1/5*b**3 + 3/5*b**2 - m*b**4 + 1/5*b - 2/5.
-(b - 1)**2*(b + 1)*(b + 2)/5
Suppose -2*k - 15 = -19. Suppose 3*p - m - 8 = -0*p, -k*p + 4*m + 12 = 0. Find j such that -2*j**3 - 3*j**2 - 4*j**2 + 2*j**4 + 3*j**p = 0.
-1, 0, 2
Let r = -31 - -25. Let d be (4 + r + 1)/(0 - 4). Factor 0 + d*g - 3/4*g**2 + 3/4*g**3 - 1/4*g**4.
-g*(g - 1)**3/4
Let h(g) be the third derivative of -1/245*g**7 + 0 + 0*g**4 - 13*g**2 + 0*g**3 + 0*g - 1/210*g**5 - 1/140*g**6 - 1/1176*g**8. Factor h(a).
-2*a**2*(a + 1)**3/7
Let k(p) be the second derivative of 1/3*p**3 + 0*p**2 - 11*p + 1/6*p**4 + 0. Factor k(r).
2*r*(r + 1)
Let o(s) be the first derivative of s**4 - 848*s**3/9 + 694*s**