ivative of m**10/1512 - m**9/3780 + m**4/12 + 6*m**2. Let d(v) be the second derivative of n(v). Factor d(t).
4*t**4*(5*t - 1)
Suppose 0*c - 40 = -c - 5*h, -2*c + h + 47 = 0. Let x = 101/4 - c. Suppose 0 + 1/2*p - x*p**2 = 0. Calculate p.
0, 2
Let m be 0 - 5*6/5. Let x(k) = 9*k**3 + 33*k**2 + 73*k + 15. Let d(v) = -v**3 - 4*v**2 - 9*v - 2. Let c(h) = m*x(h) - 51*d(h). Factor c(s).
-3*(s - 4)*(s + 1)**2
Let p(v) = -3*v - v + 3*v + 1. Let n be p(-1). Factor -2*g**n - g + 8*g**3 - 3*g - 6*g**3.
2*g*(g - 2)*(g + 1)
Let a(p) be the third derivative of 0 + 1/108*p**4 - 1/540*p**5 + 1/18*p**3 + 3*p**2 + 0*p. What is w in a(w) = 0?
-1, 3
Suppose -4*u + 10 = -2. Let l(n) be the second derivative of -3*n + 0*n**u + 1/24*n**4 + 0 - 1/4*n**2. Factor l(g).
(g - 1)*(g + 1)/2
Find p, given that 0*p + 2/5*p**2 - 1/5*p**3 + 0 = 0.
0, 2
Let z(c) be the second derivative of 0 - c - 9/80*c**5 - 5/48*c**4 + 7/120*c**6 - 1/4*c**2 + 3/8*c**3. Factor z(w).
(w - 1)**2*(w + 1)*(7*w - 2)/4
Suppose -8*q + h - 12 = -11*q, 0 = -4*q + h + 9. Factor l + 1/7*l**q - 5/7*l**2 - 3/7.
(l - 3)*(l - 1)**2/7
Let h(p) be the third derivative of -1/12*p**3 + 0*p + 0 + 1/120*p**5 + 0*p**4 - 4*p**2. Factor h(j).
(j - 1)*(j + 1)/2
Let v(x) be the second derivative of -1/7*x**3 + 1/21*x**4 - 3*x + 1/147*x**7 - 1/35*x**6 + 0 + 1/35*x**5 + 1/7*x**2. Suppose v(b) = 0. Calculate b.
-1, 1
Suppose 30 = 2*w + 3*w. Let s(n) be the third derivative of 0 - 1/6*n**3 + 0*n - 1/8*n**4 - 1/120*n**w + 2*n**2 - 1/20*n**5. Factor s(v).
-(v + 1)**3
Let q(d) be the second derivative of 3*d**5/50 - d**4/5 - 3*d**3/5 + 5*d. Suppose q(f) = 0. Calculate f.
-1, 0, 3
Solve 0 + 2/3*z**3 + 32/3*z + 16/3*z**2 = 0.
-4, 0
Let s(f) be the third derivative of -f**7/4200 + f**6/1800 + f**5/600 - f**4/120 - f**3/2 + 3*f**2. Let u(o) be the first derivative of s(o). Factor u(w).
-(w - 1)**2*(w + 1)/5
Factor 0*b - 1/4*b**5 + 0*b**2 - 1/4*b**4 + 0 + 0*b**3.
-b**4*(b + 1)/4
Let j(o) = -o - 8. Let l be j(-10). Let t(r) be the third derivative of -1/60*r**5 + 0*r + 0 + l*r**2 + 1/24*r**4 + 1/3*r**3. What is p in t(p) = 0?
-1, 2
Let s(a) be the first derivative of 3*a**5/5 - 2*a**3 + 3*a - 4. What is r in s(r) = 0?
-1, 1
Suppose 7*m**4 + 2*m**5 - 9*m**4 - 4*m**3 + 2*m**2 + 2*m**3 = 0. What is m?
-1, 0, 1
Let v(q) = q + 1. Suppose 4*z + 3*d = 2 - 10, 6 = 2*z + 4*d. Let n(y) = 2*y**2 + 9*y + 7. Let g(i) = z*v(i) + n(i). Determine h so that g(h) = 0.
-1
Let p = 10 - 20. Let c = p - -14. Factor 6*y - 2*y**2 + 4*y**3 - 6*y - 2*y**c.
-2*y**2*(y - 1)**2
Find x such that -10*x**2 + 0 + 0*x - 35/4*x**5 - 25*x**3 + 65/2*x**4 = 0.
-2/7, 0, 2
Let 0*d + 0 + 1/5*d**2 - 1/5*d**3 - 1/5*d**4 + 1/5*d**5 = 0. Calculate d.
-1, 0, 1
Factor -16*u**3 - 1710*u**2 - 16*u**4 + 1710*u**2 - 4*u**5.
-4*u**3*(u + 2)**2
Let a(n) be the second derivative of 4/49*n**7 + 0 - 1/21*n**3 - 41/105*n**6 - n - 1/2*n**4 + 2/7*n**2 + 7/10*n**5. What is x in a(x) = 0?
-1/4, 2/3, 1
Let z be 4*3/4*1. Factor 4/3*w - 2/3*w**z + 0 - 2/3*w**2.
-2*w*(w - 1)*(w + 2)/3
Determine q so that -17*q**2 - 5*q**5 - 45*q**3 + q**2 - 19*q**2 - 25*q**4 - 10*q = 0.
-2, -1, 0
Let c = 288/5 - 57. Let -2/5 - 7/5*t - c*t**2 = 0. Calculate t.
-2, -1/3
Suppose 2*g - w - 9 = -5, g - 4*w = 16. Factor 0 + 0*v + 3/5*v**4 + 0*v**2 + g*v**3.
3*v**4/5
Let x(h) = h**5 - 6*h**4 - 19*h**3 + 40*h**2 - 20*h. Let n(w) = -2*w**5 + 7*w**4 + 18*w**3 - 40*w**2 + 20*w. Let r(g) = -4*n(g) - 3*x(g). Factor r(y).
5*y*(y - 2)*(y - 1)**2*(y + 2)
Let j(i) be the second derivative of 27/2*i**2 + 0 + 1/4*i**4 + i + 3*i**3. Factor j(k).
3*(k + 3)**2
Suppose 3*b**2 - 3*b - b**4 + 0*b**4 + 3*b**3 - 2*b**4 = 0. Calculate b.
-1, 0, 1
Let v(u) be the second derivative of 1/90*u**5 + 0 - 1/54*u**4 - 1/27*u**3 + 0*u**2 + 3*u + 1/135*u**6. Factor v(m).
2*m*(m - 1)*(m + 1)**2/9
Suppose -50 = -5*r - 5*p, -3*r + 2*p + 8 = -2. Suppose b**2 + 4*b**4 + b**3 + b**2 + 3*b**3 - r*b**4 - 4*b = 0. Calculate b.
-1, 0, 1, 2
Let k be ((-6)/(-15))/((-9)/(-45)). Factor 2/5*b**k - 2/5 + 4/5*b - 4/5*b**3.
-2*(b - 1)*(b + 1)*(2*b - 1)/5
Let g = 130 - 128. Let w(t) be the first derivative of 1 + 2/5*t + 2/5*t**g - 2/5*t**3. Determine u, given that w(u) = 0.
-1/3, 1
Let f(c) be the second derivative of 243*c**5/20 + 9*c**4 + 2*c**3 - 7*c. Suppose f(k) = 0. Calculate k.
-2/9, 0
Let o(y) = -y**3 - y - 1. Suppose 4 = j, -3*v + 0*j = -j - 26. Let u = v - 7. Let z(q) = q**3 + 2*q + 2. Let f(c) = u*z(c) + 6*o(c). Factor f(d).
-3*d**3
Suppose 4*i - 25 = -5*p, -p - 5 = -5*i - 2*p. Let b(h) be the second derivative of 2/15*h**3 + 1/10*h**4 - h + 1/50*h**5 + 0 + i*h**2. Factor b(r).
2*r*(r + 1)*(r + 2)/5
Let j(r) = -3 - 5*r - 2*r**4 - r + 4*r**3 + 2*r. Let s(g) = -2*g + 4*g + 1 - g**3 + g**4 - g**3. Let z(p) = 2*j(p) + 5*s(p). Determine c so that z(c) = 0.
-1, 1
Let s(z) be the second derivative of 0*z**2 + 0 - 1/18*z**4 + 2*z - 2/9*z**3. Determine a, given that s(a) = 0.
-2, 0
Let q be (-2)/12 - 19/(-6). Let m(s) be the first derivative of 2/9*s**2 - 2/27*s**q - 2/9*s + 1. Factor m(t).
-2*(t - 1)**2/9
Let z(p) be the first derivative of -p**4/22 - 8*p**3/33 - 9. Factor z(t).
-2*t**2*(t + 4)/11
Determine h so that 14*h**5 + 10*h**3 - 28*h**3 + 40*h**4 - 10*h**2 + 4*h - 30*h**4 = 0.
-1, 0, 2/7, 1
Suppose -2*u = -4*u - 2*w + 12, u + 14 = 4*w. Let d(o) = o**2 - o. Let f(r) = 3*r**2 - 3*r. Let m(n) = u*f(n) - 9*d(n). Suppose m(s) = 0. Calculate s.
0, 1
Let p be (-2)/(-18) + 0 + 28/504. Factor -1/3*y - p - 1/6*y**2.
-(y + 1)**2/6
Suppose -12 = -0*q - q. Let k = 14 - q. Factor 0*m**4 + 1/3*m - 2/3*m**3 + 1/3*m**5 + 0 + 0*m**k.
m*(m - 1)**2*(m + 1)**2/3
Suppose -4*x**4 - 4*x - 8*x**3 + 5*x**4 + x**4 + 10*x**2 = 0. Calculate x.
0, 1, 2
Find o, given that -1/2*o**3 + 1/2*o**5 + 0 - 1/4*o**4 + 1/4*o**2 + 0*o = 0.
-1, 0, 1/2, 1
Solve 1944 + 324*h**2 - 36*h**3 + 3/2*h**4 - 1296*h = 0 for h.
6
Suppose -2*h = 4*r + 16, -2*r + r = 4*h - 3. Find t, given that t**2 - t**h + 0*t**2 + t - t**2 = 0.
0, 1
Suppose -a = -5*u + 19, 0*u + a - 11 = -5*u. Suppose -16/9*t**2 - 4/3*t + 2*t**4 + 4/9*t**u + 8/9*t**5 - 2/9 = 0. What is t?
-1, -1/4, 1
Let v(g) be the first derivative of 1/16*g**4 + 0*g + 1/8*g**2 + 1/6*g**3 - 4. Factor v(s).
s*(s + 1)**2/4
Let y(h) = h + 2. Let t be y(0). Determine s so that 6*s + 2*s**3 + 0*s**2 - 2*s**2 + 0*s**t - 4*s**2 - 2 = 0.
1
Let j be -2*2/(-32) - 4/32. Factor 0*g**2 + 1/2*g**4 + 0*g + 0 - 1/2*g**5 + j*g**3.
-g**4*(g - 1)/2
Find w such that -10 - 8 - 18*w + 4*w**2 + 2 + 6*w = 0.
-1, 4
Let l = 11 + -11. Suppose l = -x + 2. Find u such that 0 + 0*u + 1/4*u**x = 0.
0
Let k = -2 - -2. Let q(f) be the third derivative of 0*f + k + 1/9*f**3 + 1/36*f**5 + 2*f**2 + 7/72*f**4. Factor q(t).
(t + 1)*(5*t + 2)/3
Let r be (-1430)/(-264) - (-6)/(-8). Suppose 2/3*w**4 + 16/3 - r*w**3 - 40/3*w + 12*w**2 = 0. Calculate w.
1, 2
Let w(j) = -j**5 + 2*j**3 + 8*j - 9. Let i(d) = d - 1. Let l(g) = -18*i(g) + 2*w(g). Suppose l(c) = 0. What is c?
-1, 0, 1
Let b(y) = 4*y**2 + 12*y + 3. Let f(g) = 5. Let k(r) = -1. Let w(c) = -f(c) - 4*k(c). Let n(l) = -b(l) + 5*w(l). Factor n(q).
-4*(q + 1)*(q + 2)
Find m, given that 2/11*m**2 + 18/11 - 12/11*m = 0.
3
Let b(a) be the third derivative of -a**6/720 + a**5/120 - a**4/72 + 13*a**2. Factor b(s).
-s*(s - 2)*(s - 1)/6
Factor -1/3*n + 7/6*n**4 + 0 + 1/2*n**2 + 2*n**3.
n*(n + 1)**2*(7*n - 2)/6
Factor 2/5*h**2 + 0 - 2/5*h.
2*h*(h - 1)/5
Let g(y) be the first derivative of 2*y**5/25 - y**4/10 - 2*y**3/5 + y**2/5 + 4*y/5 + 26. Factor g(z).
2*(z - 2)*(z - 1)*(z + 1)**2/5
Let n(o) be the third derivative of 0 - 7*o**2 + 1/180*o**6 + 0*o - 1/45*o**5 + 0*o**3 + 0*o**4. Factor n(j).
2*j**2*(j - 2)/3
Let m be 8/(-36) - (-2)/6. Let g(x) be the third derivative of -2*x**2 + 1/12*x**4 + m*x**3 + 1/30*x**5 + 1/180*x**6 + 0*x + 0. Factor g(v).
2*(v + 1)**3/3
Let v be 4/(-18) - (-20)/9. Let m be -3*((-16)/6 + v). Factor o**2 - 3*o**2 - 3*o**m - 3*o + 2.
-(o + 1)*(5*o - 2)
Let y = -17/5 + 53/20. Let t = y - -5/4. Factor -t*h + 0 + 5/4*h**4 + 1/4*h**2 + 2*h**3.
h*(h + 1)**2*(5*h - 2)/4
Factor 2/9*w - 2/9*w**3 + 0 + 0*w**2.
-2*w*(w - 1)*(w + 1)/9
Let q(i) = i**2 - 1. Let l(d) = 6*d + 6. Let p(s) = -l(s) - 3*q(s). Factor p(a).
-3*(a + 1)**2
Let h(g) be the second derivative of g**7/21420 - g**6/3060 + g**5/1020 + 5*g**4/12 + 6*g. Let b(n) be the thir