ve of -u**5/70 - u**4/21 - u**3/21 + u. Factor z(d).
-2*d*(d + 1)**2/7
Let n = 10 - 8. Factor 6*r**4 + 2*r**5 + 0*r**2 + n*r**2 + 7*r**3 - r**3.
2*r**2*(r + 1)**3
Let n(f) be the first derivative of -3*f**5/110 - 7*f**4/66 - 2*f**3/33 + 5*f + 5. Let t(c) be the first derivative of n(c). Factor t(v).
-2*v*(v + 2)*(3*v + 1)/11
Suppose 36 = -4*x + 5*w, 5 - 13 = 5*x + 3*w. Let a(j) = -j**3 - 5*j**2 - 5*j - 2. Let g be a(x). Determine u so that -u**2 + 0*u + 0*u**g - u = 0.
-1, 0
Let m(j) be the second derivative of 0*j**2 + 1/80*j**5 + 0 - 2*j + 1/24*j**4 + 1/24*j**3. Factor m(c).
c*(c + 1)**2/4
Let z(x) be the second derivative of -4*x + 0*x**4 + 1/5*x**6 + 0 + 0*x**3 + 0*x**5 - 1/14*x**7 + 0*x**2. Factor z(j).
-3*j**4*(j - 2)
Suppose 0 = -5*m + 4*m. Let a be 0 + 6/(-9) - (-32)/12. Factor 0 + m*s - 2/3*s**3 + 2/3*s**a.
-2*s**2*(s - 1)/3
Let x(g) = g**3 - 9*g**2 + 7*g + 12. Let s be x(8). Let u(f) be the third derivative of -f**2 - 1/21*f**3 + 0 - 1/210*f**5 + 0*f - 1/42*f**s. Factor u(w).
-2*(w + 1)**2/7
Let m(c) be the third derivative of c**8/56 + c**7/70 - 3*c**6/20 + c**5/20 + c**4/4 - 8*c**2. Suppose m(i) = 0. Calculate i.
-2, -1/2, 0, 1
Let o(p) be the first derivative of 1/5*p**2 + 0*p - 1/10*p**4 - 1/25*p**5 + 4 + 1/15*p**3. Factor o(d).
-d*(d - 1)*(d + 1)*(d + 2)/5
Solve -2/3*m + 1/3*m**3 - m**4 + 0 + 1/3*m**5 + m**2 = 0 for m.
-1, 0, 1, 2
Suppose 1 + 4*v**2 + 4 - 1 - 2*v**2 - 6*v = 0. What is v?
1, 2
Factor -2*i - 4*i**2 + i**3 + 4 - 2*i**3 + 5*i**3 - 2*i.
4*(i - 1)**2*(i + 1)
Let x(p) be the second derivative of -2*p + 1/240*p**5 + 0*p**3 + 1/96*p**4 + 1/2*p**2 + 0. Let f(z) be the first derivative of x(z). Let f(n) = 0. What is n?
-1, 0
Let a(q) be the third derivative of -q**11/332640 + q**10/151200 + q**5/30 - 2*q**2. Let t(w) be the third derivative of a(w). Factor t(j).
-j**4*(j - 1)
Let b(o) = -o**4 + 41*o**3 + 19*o**2 + 10*o - 11. Let a(u) = 8*u**3 + 4*u**2 + 2*u - 2. Let r(x) = 11*a(x) - 2*b(x). Find m such that r(m) = 0.
-1, 0
Let o(x) be the first derivative of 0*x - 1/24*x**6 - 1/10*x**5 + 0*x**2 + 1/16*x**4 + 1 + 1/6*x**3. Find h, given that o(h) = 0.
-2, -1, 0, 1
Let t(p) be the first derivative of -p**8/560 + p**7/140 - p**6/120 + 2*p**3 + 2. Let i(q) be the third derivative of t(q). Solve i(w) = 0 for w.
0, 1
Suppose 0 = 5*g - 7*g + 8. Factor -2*c**g + 16/5*c**3 + 0 - 8/5*c**2 + 0*c + 2/5*c**5.
2*c**2*(c - 2)**2*(c - 1)/5
Suppose -d + 4 = 0, 5*s - 3*d = 13 + 5. Let t be 4/s - (-2)/(-6). Factor 0*h**2 + t - 1/3*h**4 - 2/3*h**3 + 2/3*h.
-(h - 1)*(h + 1)**3/3
Let w(k) be the second derivative of 0 + k**2 + 1/3*k**4 - 6*k - k**3. Factor w(l).
2*(l - 1)*(2*l - 1)
Let g be (18/4)/(10/(-30)). Let u = 171/10 + g. Suppose 2/5*z**2 + 48/5*z**4 + 0*z + u*z**3 + 0 + 32/5*z**5 = 0. Calculate z.
-1, -1/4, 0
Let l be (8/(-30))/(-6 + 4). Factor -l*k - 2/15*k**4 + 2/15*k**2 + 2/15*k**3 + 0.
-2*k*(k - 1)**2*(k + 1)/15
Let d(j) be the third derivative of -j**7/35 - j**6/60 + j**3/3 + 2*j**2. Let y(x) = 7*x**4 + 3*x**3 - 3. Let v(m) = -3*d(m) - 2*y(m). Factor v(f).
4*f**4
Solve 60/7*w - 114/7*w**2 + 27/7*w**4 + 36/7*w**3 - 9/7 = 0 for w.
-3, 1/3, 1
Let f be 22/8 - (-1)/4. Let w(y) = y + f - 3. Let g(s) = s**2 - 3*s - 1. Let l(k) = g(k) + 3*w(k). Factor l(i).
(i - 1)*(i + 1)
Factor 1/2*y**2 + 2*y + 3/2.
(y + 1)*(y + 3)/2
Let t be ((-10)/(-4))/((-165)/(-99)). Let -72*g - 18*g**2 - t*g**3 - 96 = 0. Calculate g.
-4
Let h = 38 - 25. Let k = h - 9. Find u, given that -1/2*u**2 + 0 - 3/2*u**k + 1/2*u - 5/2*u**3 = 0.
-1, 0, 1/3
Let l(b) be the first derivative of -7/12*b**4 + 2 + 3*b + 0*b**2 - 1/3*b**3 - 1/4*b**5. Let g(q) be the first derivative of l(q). Determine x so that g(x) = 0.
-1, -2/5, 0
Let v(s) be the first derivative of 3*s**6 - 3*s**5 - 9*s**4/4 + 2*s**3 - 1. Find b such that v(b) = 0.
-2/3, 0, 1/2, 1
Let n(y) be the second derivative of 0*y**2 - 1/3*y**3 + 0 - 1/12*y**4 + 3*y. Factor n(v).
-v*(v + 2)
What is y in -27*y**3 - 8*y**5 - 23*y**4 + 13*y**5 - 13*y**2 - 2*y - 9*y**5 - 3*y**5 = 0?
-1, -2/7, 0
Let w(s) be the first derivative of s**4/28 - s**2/14 + 10. Factor w(u).
u*(u - 1)*(u + 1)/7
Let d be 10/(-15) + 24/36. Factor 1/3 - 1/3*v**2 + d*v.
-(v - 1)*(v + 1)/3
Factor 6*v**2 - 10*v**2 + 0*v**2 - v**5 + 3*v**4.
-v**2*(v - 2)**2*(v + 1)
Suppose 4*u = 133 - 117. Solve 2/3*j + 0 - j**3 + 1/3*j**u + 1/3*j**5 - 1/3*j**2 = 0 for j.
-2, -1, 0, 1
Suppose 4*f + 27 = f. Let t = f - -13. Find s, given that 32/3*s**2 + 2*s**t - 26/3*s**3 - 8/3*s + 0 = 0.
0, 1/3, 2
Let h(s) be the second derivative of -s**4/12 - 2*s**3/3 - 4*s. Factor h(y).
-y*(y + 4)
Let i be (-8)/5*(1/(-2))/1. Let -4/5 + i*l**2 - 2/5*l**3 + 2/5*l = 0. What is l?
-1, 1, 2
Suppose 16*h**2 + 109*h - 109*h - 4*h**4 = 0. What is h?
-2, 0, 2
Find k such that 4*k**5 - k**5 + 5*k**3 - 2*k**5 + 2*k**5 + k**2 + 7*k**4 = 0.
-1, -1/3, 0
Let s be 19 - (-2 - (-4)/(-4)). Let y = s - 19. Suppose -2/3*g + 0 + 3*g**4 + 7/3*g**5 - 5/3*g**y - 3*g**2 = 0. What is g?
-1, -2/7, 0, 1
Let o(z) be the second derivative of z**4/16 + z**3/3 + z**2/2 + 8*z. Determine u so that o(u) = 0.
-2, -2/3
Let m be (2*1)/(4/10). Let w be (-2)/(1/2*-2). Solve 0 - 1/4*u - 1/4*u**m + 1/2*u**3 + 0*u**4 + 0*u**w = 0.
-1, 0, 1
Let y(h) be the third derivative of h**6/300 + h**5/50 + h**4/30 - 28*h**2. Factor y(z).
2*z*(z + 1)*(z + 2)/5
Let f(m) = 5*m**4 + 29*m**3 + 37*m**2 + 3*m. Let s(v) = -7*v**4 - 43*v**3 - 56*v**2 - 4*v. Let b = -8 + 0. Let w(h) = b*f(h) - 5*s(h). Solve w(q) = 0.
-2, -1, -2/5, 0
Let a = 36/13 - 79/52. Find c, given that -c**3 + 1/4*c**4 - 1/2*c + a*c**2 + 0 = 0.
0, 1, 2
Let b(c) be the third derivative of c**5/150 - c**4/15 + 4*c**3/15 - 11*c**2. What is h in b(h) = 0?
2
Let j be ((-2 + 2)/2)/(-1). Let b(f) be the second derivative of -f + 0*f**2 - 6*f**4 + j + 109/10*f**5 - 42/5*f**6 + 7/3*f**7 + 4/3*f**3. Factor b(x).
2*x*(x - 1)**2*(7*x - 2)**2
Let x(o) = -2*o**2 + 55*o + 28. Let z be x(28). Let 0 + z*m - 8/17*m**4 + 2/17*m**2 + 6/17*m**3 = 0. Calculate m.
-1/4, 0, 1
Let m(q) be the third derivative of -q**6/420 - q**5/105 - q**4/84 - 6*q**2. Factor m(d).
-2*d*(d + 1)**2/7
Suppose -4 = -l - 3. Let k(p) be the first derivative of 8*p + 1/2*p**4 + 10/3*p**3 + l + 8*p**2. Find x such that k(x) = 0.
-2, -1
Let v be ((-8)/4 + 0)/(-4). Let j(q) be the first derivative of 0*q - 4/3*q**3 - 1 + v*q**4 + 0*q**2. Factor j(i).
2*i**2*(i - 2)
Let q be 1*2*(-18)/(-12). Factor -2*j**q - j**3 + j**4 + 2*j + 3*j**2 - 3*j + 0*j**4.
j*(j - 1)**3
Let q(n) be the first derivative of -n**3 + 1/6*n**4 + 2 + 2*n**2 - n. Let h(u) be the first derivative of q(u). Factor h(o).
2*(o - 2)*(o - 1)
Suppose 0 = 6*g - 4*g - 4. Let t(c) be the second derivative of -1/75*c**6 + 0*c**5 + 0*c**3 + 0 + g*c + 1/15*c**4 - 1/5*c**2. Solve t(h) = 0.
-1, 1
Let f be (9 + 0/4)*3. Suppose -f - 4*b - 11*b + 0*b - 3*b**2 - 3*b = 0. What is b?
-3
Let z = -7 + 8. Let c be 105/14*z/5. Solve -c*o**3 - 19/4*o**4 + 1/2*o + 0 - 5/2*o**5 + 5/4*o**2 = 0.
-1, -2/5, 0, 1/2
Find s such that 0 - 2/9*s - 2/9*s**2 = 0.
-1, 0
Let o(r) = r. Let k(y) = -5*y**2 - 3*y. Let t(w) = 3*k(w) - 3*o(w). Determine z, given that t(z) = 0.
-4/5, 0
Let l(i) be the third derivative of -i**9/60480 + i**8/20160 + i**5/30 - 2*i**2. Let j(m) be the third derivative of l(m). Factor j(u).
-u**2*(u - 1)
Let h(v) = 3*v**4 - 2*v**3 - 8*v**2. Let k(z) = z**2. Suppose 111 = 5*a - 3*n, 2*n = n + 3. Let l(m) = a*k(m) + 3*h(m). Suppose l(d) = 0. Calculate d.
0, 2/3
Let j(s) be the second derivative of -2*s**6/75 - 4*s**5/25 - s**4/3 - 4*s**3/15 + 3*s. Solve j(a) = 0.
-2, -1, 0
Let r(y) be the first derivative of 3*y**7/70 + y**6/10 + y**5/15 + 7*y**2/2 - 7. Let p(i) be the second derivative of r(i). Factor p(w).
w**2*(3*w + 2)**2
Suppose 0*m - 5*m + 90 = 0. Let a be (6/(-18))/((-5)/m). Factor 0 + 4/5*n + a*n**2 + 2/5*n**3.
2*n*(n + 1)*(n + 2)/5
Let f(g) be the third derivative of -g**5/60 - g**3/6 + 3*g**2. Suppose -3*p = -p + 2. Let o(q) = -3*q**2 - 4*q - 5. Let r(m) = p*o(m) + 5*f(m). Factor r(t).
-2*t*(t - 2)
Let y = -36 + 39. Let m(d) be the first derivative of -d**2 + 0*d - y + 7/3*d**3. Factor m(k).
k*(7*k - 2)
Let r be ((-4)/10)/(18/240*-4). Suppose 4/3*z**3 + 1/3*z**4 + r*z + 2*z**2 + 1/3 = 0. What is z?
-1
Let h be 5/(135/(-6)) - 4/(-9). What is r in -h*r**3 + 2/9*r**2 + 2/9