he third derivative of x(w). Factor a(j).
2*j**2/9
Let s(m) be the first derivative of -3*m**5/25 - 3*m**4/20 + m**3/5 + 3*m**2/10 - 7. What is r in s(r) = 0?
-1, 0, 1
Suppose 13 = -4*a - 11. Let n = -2 - a. Factor 7/4*p**n - 1/4*p**2 + p**5 + 0*p + 1/2*p**3 + 0.
p**2*(p + 1)**2*(4*p - 1)/4
Let k be (-7)/(-3) + 8/12. Determine a, given that -a**3 - a**3 + a - k*a + 4*a = 0.
-1, 0, 1
Let q(a) = -a**3 + a**2 - 2. Suppose 0 = 4*h + 4*g - 8, 3 = -h + 3*g + 5. Let l(b) = -5*b**3 + 5*b**2 - 11. Let x(o) = h*l(o) - 11*q(o). Factor x(j).
j**2*(j - 1)
Let s(g) be the second derivative of -1/5*g**5 + 1/12*g**4 + 2/3*g**3 + 0 + g - 1/2*g**2. Factor s(h).
-(h - 1)*(h + 1)*(4*h - 1)
Factor 6/5*n**2 - 2/5*n**3 + 2/5 - 6/5*n.
-2*(n - 1)**3/5
Let z(g) be the third derivative of -2/7*g**3 + 0*g**4 + 1/140*g**5 - 6*g**2 + 0*g + 0. Let z(i) = 0. Calculate i.
-2, 2
Let i(z) be the first derivative of z + 1/6*z**3 - 1/10*z**6 + 0*z**2 + 1/4*z**4 - 2 - 1/20*z**5. Let m(w) be the first derivative of i(w). Factor m(d).
-d*(d - 1)*(d + 1)*(3*d + 1)
Let j(b) be the first derivative of -b**6/51 + 12*b**5/85 + 7*b**4/34 + 41. Let j(a) = 0. What is a?
-1, 0, 7
Let q(g) = 9*g**4 + 3*g**3 - 24*g**2 + 12*g. Let f(p) = 18*p**4 + 6*p**3 - 48*p**2 + 24*p. Let b(c) = 3*f(c) - 5*q(c). Determine x, given that b(x) = 0.
-2, 0, 2/3, 1
Let o(g) be the second derivative of 0 - 1/36*g**4 - 1/18*g**3 + 0*g**2 + g. Factor o(y).
-y*(y + 1)/3
Let g be 125/45 + 4/18. Factor -3 - 6 + g*v - 9*v + 0*v**2 - v**2.
-(v + 3)**2
Let k(s) be the second derivative of s**9/60480 - s**8/13440 + s**6/1440 - s**5/480 + s**4/12 + 3*s. Let z(n) be the third derivative of k(n). Factor z(u).
(u - 1)**3*(u + 1)/4
Suppose f + 20 = -5*w, -3*w + w = -4*f + 8. Let s(i) = -i**3 - i**2 + 3. Let c be s(f). Factor 0*p + 0 - 3/2*p**c - p**2.
-p**2*(3*p + 2)/2
Let r(c) = -c**3 + 2*c**2 - 20*c + 4. Let g(n) = -3*n**2 + 21*n - 3. Let t(w) = 4*g(w) + 3*r(w). Factor t(v).
-3*v*(v - 2)*(v + 4)
Let u(a) be the third derivative of -a**9/10080 - a**8/2520 - a**7/2520 + a**5/20 - a**2. Let j(d) be the third derivative of u(d). Let j(l) = 0. Calculate l.
-1, -1/3, 0
Let y be 3/(3*(-2)/(-10)). Suppose 12 = -4*z, y*z + 28 = 3*w - 2. Factor -5 - h**2 + w - h.
-h*(h + 1)
Let m(i) = i**2 - 6*i - 9. Let h be m(8). Let l(p) = -p**2 + 5*p + 14. Let s be l(h). Let s + 0*v - 2/7*v**3 - 2/7*v**4 + 0*v**2 = 0. What is v?
-1, 0
Suppose -3*h + 0*h = -12. Suppose -s - 4*s + 30 = 0. Solve -4*z**2 + 0*z**2 - s*z**3 - 2*z + h*z = 0 for z.
-1, 0, 1/3
Suppose 0 = -2*o + 2*m, 2*m + m = -3*o + 30. What is j in -32*j**4 + 20*j**3 + 14*j**o - 4*j**2 - 5*j**3 + 7*j**3 = 0?
0, 2/7, 1
Let h be ((-3)/21 - 0)*0. Let 4/13*m + 2/13*m**2 + h = 0. What is m?
-2, 0
Let v(y) be the first derivative of 4*y**3 - 9*y**2/2 - 1. Factor v(o).
3*o*(4*o - 3)
Let g(r) be the second derivative of 1/12*r**4 + 1/2*r**3 + 0 + 0*r**2 - 2*r. Find n, given that g(n) = 0.
-3, 0
Suppose -291 - 173 = 4*o. Let i = 1278/11 + o. Solve i*d**2 - 2/11*d - 4/11 = 0.
-1, 2
Let d(b) be the third derivative of 4*b**2 + 0*b + 1/20*b**5 - 7/72*b**4 + 1/9*b**3 + 0 + 1/630*b**7 - 1/72*b**6. Factor d(p).
(p - 2)*(p - 1)**3/3
Let h be (-10)/(-20) - 8/(-48). Find c, given that 2/3 + 4/3*c + h*c**2 = 0.
-1
Let a(n) = n**3 - 12*n**2 - 62*n - 30. Let w be a(16). Factor 0*v**w + 0*v - 1/3*v**5 + 1/3*v**3 + 0*v**4 + 0.
-v**3*(v - 1)*(v + 1)/3
Let x be (-8)/10 - (-54)/5. Suppose x = 5*r, -4*r = -s - 4 - 2. Find l, given that -2/3*l**s - 2/3*l + 0 = 0.
-1, 0
Let q(w) be the third derivative of 0*w**4 + 0*w**5 - 1/600*w**6 + 0 + 0*w + 0*w**3 + 1/1050*w**7 - w**2. Factor q(x).
x**3*(x - 1)/5
Let v(i) = -15*i**3 - 24*i**2 + 24*i. Let j(w) = 3*w**3 + 5*w**2 - 5*w. Let q(d) = 24*j(d) + 5*v(d). Factor q(y).
-3*y**3
Factor -2/5 + 1/5*l - 3/5*l**3 + 4/5*l**2.
-(l - 1)**2*(3*l + 2)/5
Let p be -3*(104/108 + -1). Let k(t) be the second derivative of -p*t**4 - 1/9*t**3 + 0*t**2 + t + 0*t**5 + 0 + 1/63*t**7 + 2/45*t**6. What is l in k(l) = 0?
-1, 0, 1
Let t(y) = -y**2 + y - 1. Let s(i) = i**3 + 13*i**2 + i - 2. Let x(q) = s(q) + 5*t(q). Let b be x(-7). Factor 0*h**5 - h**5 + b*h**3 + h**3.
-h**3*(h - 1)*(h + 1)
Let y be 0/7*(-1)/(-1). What is k in -2/5*k**2 + 0*k**3 + 0 + y*k + 2/5*k**4 = 0?
-1, 0, 1
Let l be 7/(-4) + -1 + 3. Let p(g) = 5*g - 32. Let o be p(7). Determine q, given that 1/4*q**2 + 0 + 1/4*q - l*q**o - 1/4*q**4 = 0.
-1, 0, 1
Let u(v) be the second derivative of v**5/5 + 2*v**4/3 - 14*v**3/3 + 8*v**2 + 44*v. Factor u(x).
4*(x - 1)**2*(x + 4)
Factor -345 + 4*v**2 + 333 - 2*v - 2*v**2.
2*(v - 3)*(v + 2)
Let b = -298 + 298. Factor 4/7*n**3 + 2/7 - 2/7*n**4 - 4/7*n + b*n**2.
-2*(n - 1)**3*(n + 1)/7
Let o(r) be the first derivative of 5*r**6/12 - 7*r**5/4 - 5*r**4/4 + 19. Suppose o(a) = 0. Calculate a.
-1/2, 0, 4
Suppose -2*i = 6*i + 7*i. Factor 0*v**3 - 2/11*v**2 + 0 + 2/11*v**4 + i*v.
2*v**2*(v - 1)*(v + 1)/11
Determine m, given that 0 - 4/5*m + 4/5*m**2 = 0.
0, 1
Let w be 2/((-1)/(-2)*2). Find c, given that 0 - 6/11*c**3 - 2/11*c**4 - 2/11*c - 6/11*c**w = 0.
-1, 0
Let f = -3 - -3. Let l(h) be the second derivative of f - 5/24*h**3 - 1/80*h**5 + 1/12*h**4 + h + 1/4*h**2. Factor l(g).
-(g - 2)*(g - 1)**2/4
Let q be 1/(30/24*2 - -2). Find c, given that -2/9*c + 4/9 - q*c**2 = 0.
-2, 1
Let g(c) be the second derivative of -1/30*c**5 + 2*c - 1/3*c**3 + c**2 + 0 + 1/6*c**4. Let s(w) be the first derivative of g(w). Suppose s(u) = 0. Calculate u.
1
Suppose -6*i - 1 = -13. Determine q, given that 0*q**3 - 1/2*q**i + 1/4*q**5 + 0 + 1/2*q**4 - 1/4*q = 0.
-1, 0, 1
Let i(m) = -5*m - 8. Let p be i(-2). Suppose 3*b = 2 + 1. Factor r**p + 2*r**4 - 4*r**4 - 5*r + 3*r**3 + b + 2*r.
-(r - 1)**2*(r + 1)*(2*r - 1)
Let r(k) be the third derivative of k**7/210 + k**6/120 - k**5/60 - k**4/24 + 4*k**2. Factor r(z).
z*(z - 1)*(z + 1)**2
Suppose -5*m = -n - 14, 2*n - 7 = -5*m + 10. Find t such that -2/11*t**m - 4/11*t**2 + 4/11 + 2/11*t = 0.
-2, -1, 1
Suppose 7*g - 16 = 3*g. Factor g*j + j**2 + 1 + 0*j - 4*j - 2*j.
(j - 1)**2
Let g = -68 - -128. Let a be 1*5*8/g. Factor -2/3*f - 2/3*f**2 + a*f**3 + 2/3.
2*(f - 1)**2*(f + 1)/3
Factor 3*n**2 + 7*n**2 + 3*n**2 - 4*n**3 - 8*n - n**2.
-4*n*(n - 2)*(n - 1)
Let u be 27/6 + -2*2. Let z = 8 + -6. Determine c, given that c**z + u*c**3 + 0 + 1/2*c = 0.
-1, 0
Factor -16*b**2 - 4 + 2*b + 4*b + 14*b.
-4*(b - 1)*(4*b - 1)
Let t(w) be the second derivative of -w**6/10 + 3*w**5/20 + 7*w**4/4 - w**3/2 - 9*w**2 + 10*w. Let t(c) = 0. Calculate c.
-2, -1, 1, 3
Let n be (1 + (-21)/6)*-4. Let u be (-2 + 12/n)*-5. Let -2*c**5 - u*c**5 - 5*c**2 + 4*c**2 + 7*c**4 = 0. Calculate c.
-1/3, 0, 1/2, 1
Factor 0 - 2/7*j**2 - 2/7*j.
-2*j*(j + 1)/7
Let k(f) be the third derivative of -f**7/1260 + f**6/720 - f**4/8 - f**2. Let s(i) be the second derivative of k(i). Factor s(a).
-a*(2*a - 1)
Let w(v) be the third derivative of -v**5/450 + v**4/36 + 2*v**3/15 - 8*v**2. Factor w(o).
-2*(o - 6)*(o + 1)/15
Let l(w) be the third derivative of -w**8/10080 + w**6/360 - w**5/90 + w**4/12 - 2*w**2. Let f(d) be the second derivative of l(d). Factor f(y).
-2*(y - 1)**2*(y + 2)/3
Let g(k) be the third derivative of k**6/120 + k**5/20 + k**4/8 + k**3/6 - k**2. Factor g(m).
(m + 1)**3
Let v(k) be the second derivative of -k**5/20 + k**4/6 + k**3/6 - k**2 - 18*k. Factor v(j).
-(j - 2)*(j - 1)*(j + 1)
Let m(j) be the third derivative of j**8/3024 - j**7/1890 - j**6/1080 + j**5/540 + 41*j**2. Suppose m(v) = 0. What is v?
-1, 0, 1
Let h(u) = -9*u**2 - 6*u - 13. Let m(l) = l + 1. Let q(o) = -h(o) - 6*m(o). Let c(w) = 5*w**2 + 4. Let g(k) = -7*c(k) + 4*q(k). Find x such that g(x) = 0.
0
Let s(v) be the second derivative of 2*v**6/45 + v**5/15 - v**4/3 - 2*v**3/9 + 4*v**2/3 - 2*v. Solve s(n) = 0 for n.
-2, -1, 1
Let h be 1/(-5)*(1 - 3). Let c = -2 - -2. Suppose c*w - h*w**3 + 0 + 4/5*w**2 = 0. Calculate w.
0, 2
Let x(f) be the second derivative of f**5/180 + f**4/72 - f**3/9 + f**2 - 5*f. Let h(v) be the first derivative of x(v). What is l in h(l) = 0?
-2, 1
Let z be (560/(-22))/8 + 7. Factor -4/11*c + 2/11*c**2 + 0 + z*c**3.
2*c*(3*c + 1)*(7*c - 2)/11
Let r = -7 + 10. Let s(a) = a**3 - 2*a**2 - 3*a + 3. Let g be s(r). Factor 2*p**5 - 4*p**g - 17 + 2*p + 17.
2*p*(p - 1)**2*(p + 1)**2
Factor 115*x - 115*x - 2*x**3 + 4*x**4 + x**5 - 3*x