 0). Suppose -3*f + t - 15 = 0. Factor 6*l - 1 + 3 + 0 - f*l**2.
-2*(l - 1)*(4*l + 1)
Let l(b) = -b - 5. Let g be l(-11). Let n be (7 - g)*(2 + 2). Suppose 2/7*y - 2/7*y**2 + 0 - 2/7*y**3 + 2/7*y**n = 0. Calculate y.
-1, 0, 1
Factor 43*u**2 + 5*u + 20*u**4 + 48*u**3 - 4*u**2 + 3*u - 3*u**2.
4*u*(u + 1)**2*(5*u + 2)
Let o(s) be the first derivative of -5*s**7/21 + 3*s**6/5 - 12*s**5/25 + 2*s**4/15 - 2*s + 3. Let t(u) be the first derivative of o(u). Factor t(z).
-2*z**2*(z - 1)*(5*z - 2)**2/5
Let j(a) be the first derivative of a**5/90 + a**4/18 + 5*a**2/2 + 1. Let g(n) be the second derivative of j(n). Factor g(o).
2*o*(o + 2)/3
Suppose -19*c = 26*c - 13*c. Factor c + 8/9*p**2 + 2/9*p.
2*p*(4*p + 1)/9
Let m(z) be the third derivative of z**5/120 - z**4/48 - z**3/6 - 9*z**2. Determine n so that m(n) = 0.
-1, 2
Let b(a) be the second derivative of a**7/1260 - a**5/15 - a**4/6 - 10*a. Let u(w) be the third derivative of b(w). Factor u(t).
2*(t - 2)*(t + 2)
Let j(z) be the third derivative of -z**7/70 - 3*z**6/40 - z**5/10 - 5*z**2. Let j(y) = 0. Calculate y.
-2, -1, 0
Let b = 19 + -75/4. Let b*f**3 + 3/4*f + 1/4 + 3/4*f**2 = 0. What is f?
-1
Let r(l) = -23*l**3 + 29*l**2 + 28*l + 17. Let b(h) = 8*h**3 - 10*h**2 - 10*h - 6. Let c(x) = 17*b(x) + 6*r(x). Factor c(f).
-2*f*(f - 1)**2
Let g be (2/6)/((-2)/(-30)). Let w = -6 - -12. Let -3*v**g - 2*v**5 + w*v**5 = 0. What is v?
0
Let u(q) be the third derivative of q**6/180 - q**5/36 - q**4/18 + q**3/6 + 3*q**2. Determine o so that u(o) = 0.
-1, 1/2, 3
Let a(x) be the first derivative of -x**5/30 + x**3/9 - 3*x - 3. Let b(u) be the first derivative of a(u). Factor b(c).
-2*c*(c - 1)*(c + 1)/3
Let d = 3 + -2. Let v be 1 - (d + -2 - 0). Solve -2/5*o**v - 2/5*o**3 + 2/5*o + 2/5 = 0.
-1, 1
Suppose 3*k = 5*k - 4. Let -4/5*i + k*i**2 + 0 = 0. Calculate i.
0, 2/5
Factor -2/9*s**2 + 2/3 - 4/9*s.
-2*(s - 1)*(s + 3)/9
Suppose -3*j + 2 = -7. Suppose 5*y + j*x - 18 = 0, 0 = 3*y + x - 3*x - 7. Determine q, given that -q + 4*q**3 + 7*q - 5*q**3 - y*q + 2 = 0.
-1, 2
Let z = -46 - -93/2. Factor 0 - 1/4*x**3 - z*x**2 - 1/4*x.
-x*(x + 1)**2/4
Factor -1/2*b**2 - 1/4*b**3 + 0*b + 0.
-b**2*(b + 2)/4
Let c(j) be the first derivative of -2*j**3/15 + j**2/5 - 2. Determine u, given that c(u) = 0.
0, 1
Let z(x) be the third derivative of -3*x**7/35 + x**6/30 + 3*x**5/10 - x**4/6 + 19*x**2. Factor z(c).
-2*c*(c - 1)*(c + 1)*(9*c - 2)
Let u be (3/2)/(9/18). Factor -14/11*q**u + 0 - 18/11*q - 2/11*q**4 - 30/11*q**2.
-2*q*(q + 1)*(q + 3)**2/11
Let d(r) be the first derivative of -r**5/30 + r**4/6 - r**3/3 + r**2/3 - r/6 - 8. Factor d(y).
-(y - 1)**4/6
Suppose 0 = r + 4, 0*t - 2*t + 2*r = -16. Determine x, given that -3*x**3 - 4*x**3 + 2*x**5 - x**5 + 2*x**2 + t*x**3 = 0.
-2, 0, 1
Let n(u) be the second derivative of u**7/14 + u**6 + 99*u**5/20 + 10*u**4 + 8*u**3 + u. Determine d, given that n(d) = 0.
-4, -1, 0
Determine p so that 0 - 3/4*p - 3/4*p**2 = 0.
-1, 0
Suppose 0 = -87*m + 84*m + 6. Let 6/5*a**4 + 0 - 2/5*a + 2/5*a**3 - 6/5*a**m = 0. Calculate a.
-1, -1/3, 0, 1
Let d(l) be the third derivative of 7*l**6/60 - l**5/6 - l**4/6 - 5*l**2. Factor d(v).
2*v*(v - 1)*(7*v + 2)
Let q = -10 + 9. Let a be q/(5/((-10)/4)). Factor 0*g + 4*g**4 - 7/4*g**5 - 11/4*g**3 + 0 + a*g**2.
-g**2*(g - 1)**2*(7*g - 2)/4
Let g = -222 + 2000/9. Let q(j) be the first derivative of -1/3*j + g*j**3 - 1/15*j**5 + 1/6*j**4 - 1/6*j**2 - 1/18*j**6 + 2. Find h, given that q(h) = 0.
-1, 1
Let n(s) = 2*s**2 + 1. Let p(o) = -o**2. Suppose -3 = 2*m - 1. Let d(r) = m*n(r) - 3*p(r). Find b, given that d(b) = 0.
-1, 1
Let a(o) be the first derivative of -o**6/540 - o**5/135 - o**4/108 - o**2 + 3. Let x(l) be the second derivative of a(l). Let x(g) = 0. What is g?
-1, 0
Solve -2*f**3 - 39*f**2 + 8 + f - 13*f**3 - 13*f + 4 = 0.
-2, -1, 2/5
Let r(f) be the first derivative of 0*f - 3 - 1/14*f**4 - 2/21*f**3 + 2/7*f**2. Solve r(w) = 0 for w.
-2, 0, 1
Suppose 7 - 1 = 3*l. Let g be 1/3*(-13 - -14). Determine n, given that 0*n + g*n**l + 0 - 1/3*n**3 = 0.
0, 1
Let f(d) be the third derivative of -d**6/30 - d**5/3 - d**4/2 + 6*d**3 + 20*d**2. Factor f(o).
-4*(o - 1)*(o + 3)**2
Let b(a) be the second derivative of -a**9/13608 + a**8/3780 - a**7/3780 - a**3/6 - 2*a. Let d(l) be the second derivative of b(l). Factor d(u).
-2*u**3*(u - 1)**2/9
Let h(q) = -2*q + 14. Let j be h(7). Find v such that -1/3*v**2 + 0 - 1/6*v**3 + j*v = 0.
-2, 0
Let q(l) be the second derivative of -1/84*l**7 + 1/20*l**5 + 0*l**6 - l + 0*l**2 + 0 + 0*l**4 - 1/12*l**3. Factor q(h).
-h*(h - 1)**2*(h + 1)**2/2
Let d be (-798)/(-12) - (-3)/(-2). Factor 3 - 3*m**2 - d*m + 65*m.
-3*(m - 1)*(m + 1)
Let o(p) be the third derivative of -p**8/3360 + p**6/360 + p**4/8 + 3*p**2. Let b(x) be the second derivative of o(x). Let b(d) = 0. Calculate d.
-1, 0, 1
Let f(x) be the second derivative of x**7/35 + 13*x**6/75 + 2*x**5/25 + 25*x. Factor f(v).
2*v**3*(v + 4)*(3*v + 1)/5
Let g(h) = -h**2 - 15*h - 19. Let i be g(-13). Suppose i*s - 4*s = 0. Factor -1/3*f**2 + 1/3*f**3 + 1/3*f**4 + 0 + s*f - 1/3*f**5.
-f**2*(f - 1)**2*(f + 1)/3
Let s(z) be the second derivative of z**8/3360 - z**7/630 + z**6/360 - z**4/6 + z. Let w(q) be the third derivative of s(q). Factor w(r).
2*r*(r - 1)**2
Factor -2*v**4 + 6*v**4 - 9*v**2 - 8*v - 7*v**2 + 4*v**2.
4*v*(v - 2)*(v + 1)**2
Let t(u) be the first derivative of 5/96*u**6 - 2 - 1/3*u**3 - 7/24*u**5 + 11/24*u**4 - 1/2*u**2 + 0*u. Let z(d) be the second derivative of t(d). Factor z(o).
(o - 2)*(5*o - 2)**2/4
Let i(w) be the third derivative of w**7/5040 + w**6/2160 - w**5/720 - w**4/144 + w**3/2 - 5*w**2. Let o(f) be the first derivative of i(f). Factor o(u).
(u - 1)*(u + 1)**2/6
Let j(b) be the first derivative of b**5/15 - b**3/9 + 5. Factor j(c).
c**2*(c - 1)*(c + 1)/3
Let q(h) be the third derivative of h**7/210 + h**6/40 + h**5/60 - h**4/8 - h**3/3 - 11*h**2. Let q(o) = 0. What is o?
-2, -1, 1
Let u(z) be the second derivative of -z**6/360 - z**5/30 - z**4/8 + 7*z**3/6 + 2*z. Let t(v) be the second derivative of u(v). Factor t(p).
-(p + 1)*(p + 3)
Let k(z) = 20*z**4 - 32*z**3 + 24*z**2 + 24. Let g(f) = -f**4 + f**3 - f**2 - 1. Let q(y) = -24*g(y) - k(y). Determine i, given that q(i) = 0.
-2, 0
Let k(n) be the first derivative of 0*n + 0*n**2 - 2/15*n**5 - 1/3*n**4 - 2/9*n**3 + 5. Let k(t) = 0. Calculate t.
-1, 0
Let -2*s + 4*s**4 + 19*s**3 + 20*s**2 + 4*s**3 + 10*s - 7*s**3 = 0. Calculate s.
-2, -1, 0
Let f be 2*(3 + 9/(-6)). Factor -11*v**4 - 84*v**f - 2*v**4 - 8*v + 44*v**2 - 20*v**5 + 81*v**4.
-4*v*(v - 1)**3*(5*v - 2)
Find m, given that 11*m**4 - 6*m**4 + 8*m - 16*m**3 + 7*m**4 - 14*m**2 - 6*m**2 = 0.
-1, 0, 1/3, 2
Let o(u) be the third derivative of -1/30*u**4 - 4/75*u**5 + 0*u**3 + 0 + 0*u - 1/75*u**6 - 4*u**2 + 8/525*u**7 + 1/140*u**8. Suppose o(y) = 0. Calculate y.
-1, -1/3, 0, 1
Let t(s) be the second derivative of s**6/40 - s**5/8 + 5*s**4/48 + 5*s**3/12 - s**2 - 6*s. Suppose t(j) = 0. What is j?
-1, 1, 4/3, 2
Let -1/5*n - 4/5*n**3 + 0 + 4/5*n**2 = 0. Calculate n.
0, 1/2
Let r(w) be the first derivative of -w**4/2 - 10*w**3/3 - 7*w**2 - 6*w - 11. What is q in r(q) = 0?
-3, -1
Let c(r) be the second derivative of r**5/4 + r**4/3 + 2*r**3/3 + 2*r**2 + 4*r. Let n(s) = -s**3 - s**2 - s - 1. Let f(o) = c(o) + 4*n(o). Factor f(d).
d**3
Determine i so that -63/4*i**3 - 3 - 18*i - 123/4*i**2 = 0.
-1, -2/3, -2/7
Let a(r) = -r**2 + 9*r + 7. Let i be a(9). Suppose i*m - 15 = 3*m - 5*b, m + 12 = 4*b. Factor m*p + 2/5*p**2 - 2/5.
2*(p - 1)*(p + 1)/5
Factor 20/7*w**4 - 16/7*w**2 + 0 + 0*w - 32/7*w**3.
4*w**2*(w - 2)*(5*w + 2)/7
Let f(h) be the third derivative of h**7/1050 - h**6/600 - 8*h**2. Factor f(d).
d**3*(d - 1)/5
Let b(l) be the second derivative of -7*l**6/30 - 13*l**5/10 - 9*l**4/4 - 2*l**3/3 + 2*l**2 + l + 9. Factor b(o).
-(o + 1)**2*(o + 2)*(7*o - 2)
Let y(h) = -2*h - 2. Let x be y(-3). Factor -8*r - 1 - 21*r**2 + 4*r**x - 8*r**3 + 9*r**2 - 6*r**4 - 1.
-2*(r + 1)**4
Let i(y) be the second derivative of 25*y**5/4 + 175*y**4/12 + 55*y**3/6 + 5*y**2/2 + 27*y. Factor i(t).
5*(t + 1)*(5*t + 1)**2
Suppose -4*u = s + 3, -5*u = 2*s - 3*s + 15. Let h be 2/(u/(-4) + 0). Factor 3*g**4 - 2*g**4 - g**5 - 2*g**h.
-g**4*(g + 1)
Solve 8 + 0*k**3 - k + 5*k - 8*k**2 - k**3 - 3*k**3 = 0.
