e of -o**5/20 - 3*o**4/4 + 5*o**3/3 - 10*o - 3. Let k(h) = 0. What is h?
-10, 0, 1
Let m(j) = j**3 + j**2 - j. Let y(b) = 20*b**3 + 4 - 19 + 15 - 14*b + 10*b**2 - 2*b**4. Let u = 2 + 0. Let q(a) = u*y(a) - 28*m(a). Find s, given that q(s) = 0.
0, 1, 2
Solve -c + 15*c**2 + 7*c - c**3 - 29*c + 7*c + 2*c**3 = 0 for c.
-16, 0, 1
Let v(i) be the third derivative of i**5/330 - i**4/22 - 16*i**3/33 - 139*i**2. Determine t, given that v(t) = 0.
-2, 8
Factor -1/9*q**5 + 0 - 8/9*q**4 + 3*q + 0*q**2 - 2*q**3.
-q*(q - 1)*(q + 3)**3/9
Suppose -2 = -2*m - 4. Let o = m - -10. Factor 4 - 5 - o*v**2 + v**3 + 10*v**2 - v.
(v - 1)*(v + 1)**2
Let c = 5053/1887 + -7/629. What is y in 0 + 3/2*y**4 + 2/3*y + 7/2*y**3 + c*y**2 = 0?
-1, -2/3, 0
Let 3*a**4 + 61*a**2 + 1/8*a**5 - 64 + 191/8*a**3 - 24*a = 0. Calculate a.
-8, -1, 1
Factor 4*v**4 + 4*v**2 + 3614*v - 8*v**4 - 3586*v - 28*v**3.
-4*v*(v - 1)*(v + 1)*(v + 7)
Factor 1058/3*i**2 + 32/3 + 368/3*i.
2*(23*i + 4)**2/3
Let t be (-5)/(-40) + (-4 - 24044/96). Let z = -254 - t. Solve 0 + 0*d**2 - 1/2*d**4 + 0*d + 1/6*d**5 + z*d**3 = 0 for d.
0, 1, 2
Factor 4 - 38/9*w + 2/9*w**2.
2*(w - 18)*(w - 1)/9
Let d(i) be the second derivative of 1/28*i**4 + 11*i - 3/14*i**3 + 3/7*i**2 + 0. Determine k, given that d(k) = 0.
1, 2
Let d(w) be the second derivative of 0 - 16*w - 1/2*w**3 + 1/20*w**5 + 0*w**4 - w**2. Find v, given that d(v) = 0.
-1, 2
Let z = 103 + -103. Let g be 1 + -3 + (2 - z) + 2. Factor 4/3*f + f**g + 1/3.
(f + 1)*(3*f + 1)/3
Factor 13*y + 24*y + 4*y - 11*y + 2*y**2 + 20*y.
2*y*(y + 25)
Let w(r) = r**2 - 4*r. Let s(m) = 4*m**3 - 944*m**2 + 73040*m - 1898208. Let v(f) = -s(f) - 8*w(f). Factor v(h).
-4*(h - 78)**3
Let m(w) be the second derivative of w**4/24 + w**3/3 + w**2 + 5*w - 10. Factor m(y).
(y + 2)**2/2
Let -624/5 - 1254/5*g - 6/5*g**3 - 636/5*g**2 = 0. Calculate g.
-104, -1
Let n = -224 - -224. Suppose 1/4*y**3 + n - 1/2*y**2 + 0*y = 0. What is y?
0, 2
Let c = 3064/9195 + 1/9195. Let 14/3*k - c*k**2 + 5 = 0. What is k?
-1, 15
Find q such that -6/7*q**5 + 0*q**2 + 12/7*q**4 - 6/7*q**3 + 0*q + 0 = 0.
0, 1
Let w(g) = -32*g**3 - 56*g**2 + 104*g - 48. Let t(l) = 41*l**3 + 55*l**2 - 103*l + 47. Let b(k) = 4*t(k) + 5*w(k). Determine i, given that b(i) = 0.
1, 13
Let i(b) be the third derivative of 5*b**8/336 - 2*b**7/21 + 5*b**6/24 - b**5/6 - 4*b**2 - 14*b. Factor i(k).
5*k**2*(k - 2)*(k - 1)**2
Suppose 2*f + f - 5 = -5*k, 0 = -f + 3*k - 3. Factor -3*h**2 - 50 + f*h**2 + 50.
-3*h**2
Let c = -57077/2 + 28539. What is p in c*p**3 + 3/2 + 7/2*p + 5/2*p**2 = 0?
-3, -1
Let x(r) = r**4 + r**3 - r**2 - 1. Let q(v) = -36*v**3 + 5*v**4 - 113 + 67 + 66 + 60*v**2 - v**5 - 48*v. Let u(o) = 3*q(o) + 12*x(o). Factor u(z).
-3*(z - 2)**4*(z - 1)
Suppose 8*t - t = 252. Let 18*s**2 + 4 + t*s + 29 - 33*s**3 + 9*s**4 - 57 = 0. What is s?
-1, 2/3, 2
Let m(n) be the third derivative of -n**6/480 + n**5/24 - 124*n**2. Factor m(i).
-i**2*(i - 10)/4
Let f(q) be the first derivative of -q**8/560 - q**7/140 + q**6/40 + q**5/10 - q**4/2 - 7*q**3/3 - 1. Let k(y) be the third derivative of f(y). Factor k(s).
-3*(s - 1)**2*(s + 2)**2
Let j(s) be the first derivative of -s**4/16 + s**3/4 - 3*s**2/8 + 10*s - 11. Let o(y) be the first derivative of j(y). Factor o(r).
-3*(r - 1)**2/4
Let u be (-9)/6 - 100/(-66). Let t(o) be the third derivative of 0*o - u*o**4 + 0 + 1/330*o**5 - 7*o**2 - 1/11*o**3. Factor t(z).
2*(z - 3)*(z + 1)/11
Suppose 2*n = 6*n + w - 14, 6 = 3*w. Let v(y) = -4*y**2 - 13*y - 19. Let b(j) = -3*j + 22*j - 5*j + 4*j**2 + 6 + 12. Let r(d) = n*b(d) + 2*v(d). Factor r(h).
4*(h + 2)**2
Let n = 1921 - 9602/5. Suppose -n - 3/5*d + 3/5*d**3 + 3/5*d**2 = 0. Calculate d.
-1, 1
Let n be (-1 + 4*2)/((-3)/3). Let s be -1 + (-5)/n + 26/42. What is m in -m**2 + s*m**3 + m - 1/3 = 0?
1
Suppose 0*m + 3*m - 5*f = 20, -12 = m + 3*f. Let n(h) be the first derivative of 3/20*h**5 + 1/4*h**3 + m*h - 1 + 0*h**2 + 3/8*h**4. Factor n(v).
3*v**2*(v + 1)**2/4
Let j = 2717 + -10865/4. Factor j*p**3 - 3/4*p + 0*p**2 + 0.
3*p*(p - 1)*(p + 1)/4
Let g be 4/(-8) + (-3)/(-6). Let c(m) be the third derivative of 0 + 1/15*m**5 + 2/105*m**7 + 1/15*m**6 - m**2 + 0*m**3 + g*m**4 + 0*m. Factor c(p).
4*p**2*(p + 1)**2
Let l(n) = 3*n**2 - 5*n - 27. Let u = 16 - 11. Let g(f) = -2*f**2 + 2*f + 14. Let j(i) = u*g(i) + 2*l(i). Determine d, given that j(d) = 0.
-2, 2
Let n(k) be the third derivative of -k**5/60 - 3*k**4/2 - 25*k**2 + k. Factor n(p).
-p*(p + 36)
Suppose 1/4*n**5 + 5/2*n**4 + 4 + 16*n**2 + 13*n + 37/4*n**3 = 0. Calculate n.
-4, -2, -1
Let o(i) be the third derivative of 0*i**4 + 0*i**3 + 1/240*i**5 + 0*i + 0 + i**2. Factor o(g).
g**2/4
Let o(b) be the third derivative of b**6/720 + b**5/90 + 5*b**4/144 + b**3/18 + 10*b**2 - 20. Determine w, given that o(w) = 0.
-2, -1
Let y(b) be the first derivative of b**6/120 + b**5/2 + 25*b**4/2 + 5*b**3 - 15. Let u(z) be the third derivative of y(z). Find t such that u(t) = 0.
-10
Let g be ((-4)/16)/(9/6)*-6. Let k(v) = 2*v**3 - 14*v**2 - 18*v - 8. Let s(q) = -q**4 + q**3 - q**2 - q - 1. Let w(c) = g*k(c) - 2*s(c). Factor w(x).
2*(x - 3)*(x + 1)**3
Let x(m) = 2*m**2 + 8*m - 4. Let r be x(-6). Let y be 6/9 - r/(-15). Factor q**y - q + 2*q - 2*q.
q*(q - 1)
Factor -33/2*t**2 + 0 - 18*t + 3/2*t**3.
3*t*(t - 12)*(t + 1)/2
Let w = -19691 - -19693. Determine v so that -2/5*v**w - 12/5 - 14/5*v = 0.
-6, -1
Suppose -14 = -4*k + 2*x - 0*x, -5*k = -x - 13. Factor i**4 + 34*i**2 + 110*i**2 + 36*i**3 - 37*i + 229*i + k*i**4.
3*i*(i + 4)**3
Let l(b) = -16*b**2 - 15*b. Let r(f) = 19*f**2 + 17*f. Let w(p) = -6*l(p) - 5*r(p). Factor w(n).
n*(n + 5)
Let h be -3 + 1 - (-20 - (-30 + 14)). Find a, given that 8/5*a**h + 7/5*a**4 + 16/5*a**3 - 16/5*a + 1/5*a**5 - 16/5 = 0.
-2, 1
Let j(u) = -16 + 24 - 10 - 31*u**2 + u + 24*u**2. Let h(q) = q**2 - q. Let f = 5 + -15. Let t(n) = f*h(n) - 2*j(n). Find w such that t(w) = 0.
-1
Let t(a) = 4*a**4 - 34*a**3 + 48*a**2 - 2*a - 4. Let o(g) = 8*g**4 - 69*g**3 + 96*g**2 - 5*g - 10. Let m(s) = 2*o(s) - 5*t(s). Factor m(l).
-4*l**2*(l - 6)*(l - 2)
Let l(o) be the second derivative of -o**5/4 - 10*o**4/3 - 10*o**3 + 31*o. Factor l(p).
-5*p*(p + 2)*(p + 6)
Suppose 0 = -15*l + 2110 - 2065. Factor -4/7*y**2 + 2/7*y - 2/7*y**5 + 4/7*y**4 + 0*y**l + 0.
-2*y*(y - 1)**3*(y + 1)/7
Let g = 137 + -137. Let j(o) be the third derivative of 0*o + 7*o**2 - 1/180*o**5 + 1/24*o**4 + g + 1/9*o**3 - 1/630*o**7 - 1/120*o**6. Factor j(n).
-(n - 1)*(n + 1)**2*(n + 2)/3
Let h(z) be the second derivative of z**6/15 - 3*z**5/5 + 2*z**4 - 10*z**3/3 + 3*z**2 + 104*z. Suppose h(s) = 0. What is s?
1, 3
Let q(b) = 15*b**5 + 2*b**4 - 14*b**3 + 236*b**2 - 361*b + 162. Let x(a) = 2*a**5 + 2*a**4 + a. Let s(p) = 5*q(p) - 40*x(p). Let s(h) = 0. What is h?
-9, 1, 2
Let a(n) be the first derivative of 4*n**3/9 + 68*n**2/3 + 124*n + 509. Determine f so that a(f) = 0.
-31, -3
Factor 1/2*v**4 - 3*v**2 - 27/2 - 2*v**3 + 18*v.
(v - 3)**2*(v - 1)*(v + 3)/2
Let a(v) be the first derivative of -v**5/12 - 25*v**4/24 + 5*v**3 - 7*v**2 + 3. Let u(c) be the second derivative of a(c). Determine s so that u(s) = 0.
-6, 1
Suppose -v = -o - 3, -8*o + 11*o = -3*v + 27. Factor 0 - 2/7*j**o - 6/7*j - 8/7*j**2.
-2*j*(j + 1)*(j + 3)/7
Let f(q) be the third derivative of -q**5/150 + 2*q**4/5 + 84*q**2. Suppose f(g) = 0. What is g?
0, 24
Let z be (0/(-4 + (-1 - -3)))/2. Suppose z = 10*f - 3*f - 21. Factor 9/2*y**2 + 3/2*y**f + 3*y + 0.
3*y*(y + 1)*(y + 2)/2
Let r(h) = h**2 + h - 1. Let d(a) = -22 + 46 + a - 23. Let g(y) = 5*d(y) + 5*r(y). Factor g(j).
5*j*(j + 2)
Let v(c) be the second derivative of -c**6/90 + c**5/10 + 11*c**4/36 - 10*c**3/3 - 50*c**2/3 + 72*c - 6. Factor v(o).
-(o - 5)**2*(o + 2)**2/3
Let s be 5/((-20)/18)*14. Let u be 4/14 - (-5 - (-87)/s). Let -32/3*v**5 - u*v**2 - 80/3*v**4 + 0 - 2/3*v - 22*v**3 = 0. Calculate v.
-1, -1/4, 0
Let r(y) be the first derivative of -y**4/2 - 4*y**3/3 - y**2 + 10. Let j(u) = -3*u**3 - 7*u**2 - 4*u. Let p(o) = -6*j(o) + 10*r(o). Solve p(q) = 0 for q.
-1, 0, 2
Let o(f) be the second derivative of f**7/3360 - f**6/96 + 5*f**5/32 + 7*f**4/12 + 7*f. Let c(x) be the third derivative of o(x). Factor c(q).
3*(q - 5)**2/4
Let a(f) be the second derivative of 5*f**4/12 - 45*f**2/2 + f + 40. Factor a(v).
5*(v - 3)*(v + 3)
Le