. Find v, given that 4*v - 4*v + 10*v**3 - 14*v**w + 4*v**2 = 0.
-2/7, 0, 1
Let y be 7 + -3 + 3 + -3. Factor -3*d**3 + 2*d**4 - 2 - 2*d**3 + d**3 - 2*d**5 - 4*d**2 + y*d**4 + 6*d.
-2*(d - 1)**4*(d + 1)
Let z = 2/2457 + -109748/2457. Let t = z + 45. Determine l, given that -2/3 + t*l**2 + 1/3*l = 0.
-2, 1
Suppose 5*o = 22 + 13. Determine z so that 3*z**2 + 0 - z**2 + 2 - o*z + 3*z = 0.
1
Let y = -18 + 21. Suppose -t - 2 = 2*n, 0 + 10 = -y*n - 5*t. Factor -1/2*w**2 - w + n.
-w*(w + 2)/2
Let u(p) be the third derivative of p**5/240 + p**4/32 + p**3/12 + 10*p**2. Factor u(g).
(g + 1)*(g + 2)/4
Factor -3/5*f**2 + 12/5*f + 0.
-3*f*(f - 4)/5
Let o(h) = -8*h + 18. Let u be o(2). Let w be (-6)/(-4) - (-1)/2. Factor w*k - 2 - 1/2*k**u.
-(k - 2)**2/2
Factor 4/5*x**3 - 4/5*x - 2/5*x**2 + 2/5.
2*(x - 1)*(x + 1)*(2*x - 1)/5
Let q = 38/3 - 12. Let k = 11/15 - 2/5. What is p in -q*p - 1/3*p**2 - k = 0?
-1
Let l(r) = -6*r**4 - 13*r**3 - r**2 + 13*r + 7. Let g(b) = -4*b**4 - 9*b**3 - b**2 + 9*b + 5. Let i(c) = -7*g(c) + 5*l(c). Factor i(h).
-2*h*(h - 1)*(h + 1)**2
Let h(r) be the first derivative of r**3/3 + r**2 + 1. Factor h(q).
q*(q + 2)
Let b(a) = a**2 - 1. Let m be b(2). Let v be ((-4)/m)/((-35)/15). Factor 2/7*h**3 + v - 2/7*h - 4/7*h**2.
2*(h - 2)*(h - 1)*(h + 1)/7
Determine m, given that 3*m**4 - 3/5*m**2 + 21/5*m**3 - 24/5*m + 3/5*m**5 - 12/5 = 0.
-2, -1, 1
Let i(f) be the third derivative of f**7/1155 - f**6/330 - f**5/110 + f**4/33 + 4*f**3/33 + 23*f**2. Factor i(y).
2*(y - 2)**2*(y + 1)**2/11
Let g(i) be the third derivative of 0*i + 4*i**2 + 0 - 1/180*i**5 + 1/360*i**6 + 1/18*i**3 - 1/72*i**4. Factor g(n).
(n - 1)**2*(n + 1)/3
Let f = -1062 - -2125/2. Factor 0*t**2 - 1/4 + f*t + 1/4*t**4 - 1/2*t**3.
(t - 1)**3*(t + 1)/4
Let r(x) = -2*x**2 + 3*x - 5. Let h(a) = -2*a**2 + 2*a - 4. Let c(k) = 5*h(k) - 4*r(k). Let c(y) = 0. What is y?
-1, 0
Factor -6*u**5 - 7*u**5 + 7*u**5 + 5*u**4 + u**5.
-5*u**4*(u - 1)
Let j(d) be the second derivative of -2*d**6/15 - 2*d**5/5 + 4*d**3/3 + 2*d**2 + 10*d. Factor j(a).
-4*(a - 1)*(a + 1)**3
Let m be -1 - 1/(-1) - -3. Let n be (-2 + 2)/(-1 + -1). Let n*d + m*d - d + 5*d**3 - 7*d**2 = 0. What is d?
0, 2/5, 1
Let f(r) be the third derivative of 1/105*r**5 + 0 + 0*r**4 + 0*r + 0*r**7 + 0*r**3 + 1/140*r**6 - 6*r**2 - 1/1176*r**8. Factor f(c).
-2*c**2*(c - 2)*(c + 1)**2/7
Let l(x) be the second derivative of x**6/150 - x**5/100 - 2*x. What is h in l(h) = 0?
0, 1
Let s(y) = -6*y**4 - 4*y**3 - 12*y**2 - 4*y - 2. Let h(n) = -n**4 + n**3 + n. Let p(c) = 4*h(c) - s(c). Solve p(z) = 0.
-1
Let l be (9/30)/(-1 + 1 + 6). Let z(m) be the second derivative of 0 - 3*m - 1/6*m**3 + l*m**5 - 1/4*m**2 + 1/24*m**4. Solve z(b) = 0 for b.
-1, -1/2, 1
Factor -y**3 + 0*y**2 - 1/5*y**5 + 0 - 6/5*y**4 + 0*y.
-y**3*(y + 1)*(y + 5)/5
Let g be (9/30)/((-6)/(-8)). Let l(i) be the first derivative of 1/2*i**4 - 2 + 0*i + 0*i**2 + g*i**5 - 4/3*i**3. Let l(u) = 0. What is u?
-2, 0, 1
Let h(w) be the second derivative of -w**4/6 - 3*w. Solve h(x) = 0 for x.
0
Let p(v) be the second derivative of 0 + 2/27*v**3 + 1/54*v**4 - 1/135*v**6 + 0*v**2 - 6*v - 1/45*v**5. Suppose p(h) = 0. Calculate h.
-2, -1, 0, 1
Let c be (-3 + 4/2)*-3. Determine f, given that 2/3*f**c - 2/3*f + 2/3*f**2 - 2/3 = 0.
-1, 1
Let k(a) be the third derivative of -a**7/105 + a**5/10 - a**4/6 - a**2. Determine r, given that k(r) = 0.
-2, 0, 1
Let o(v) = -4*v - 1. Let q be o(-1). Suppose r = q + 1, 5*c + 3*r = 27. Factor -21*k + 128*k**5 + 119*k**4 + 36*k**c - 2 - 140*k**3 - 23*k**4 - 94*k**2 - 3*k.
2*(k - 1)*(k + 1)*(4*k + 1)**3
Let t(q) = 4*q + 3. Let w(f) = -f - 1. Let x(b) = t(b) + 3*w(b). Let h be x(2). Factor -10*l**h + l - 8*l**3 - 3*l**4 - 5*l + l**4.
-2*l*(l + 1)**2*(l + 2)
Factor 0*x + x - 2*x**3 + 6*x - 5*x.
-2*x*(x - 1)*(x + 1)
Suppose -5*g**2 - 8*g**3 - 2*g**2 + 11*g**2 + 4*g**4 = 0. Calculate g.
0, 1
Let s(z) be the third derivative of -2*z**2 + 1/9*z**3 + 0 + 0*z - 1/90*z**5 + 0*z**4. Factor s(h).
-2*(h - 1)*(h + 1)/3
Let j = 59 + -56. Let x(y) be the first derivative of -j*y**2 + 0*y - 5*y**3 - 3/5*y**5 - 3*y**4 - 4. Suppose x(o) = 0. Calculate o.
-2, -1, 0
Suppose 0 = 5*z - 151 - 39. What is h in -5*h - 2*h**3 - h - 6*h**2 + 36 - z = 0?
-1
Let z(y) = -5*y**2 - 5*y - 10. Let s be z(-3). Let o = s + 161/4. Determine t, given that 1/4*t**3 + 0 - o*t**2 - 1/4*t**5 + 0*t + 1/4*t**4 = 0.
-1, 0, 1
Let a = -19/6 - -20/3. Let u = -5 + 8. Determine k so that 5/2*k**2 + k + 0 + a*k**5 - 5/2*k**4 - 9/2*k**u = 0.
-1, -2/7, 0, 1
Let u(z) be the third derivative of 0*z**5 + 1/60*z**6 + 0*z + 0*z**4 + 0 - 2/105*z**7 - 4*z**2 + 1/168*z**8 + 0*z**3. Find c, given that u(c) = 0.
0, 1
Let c(k) be the first derivative of 4 - 2/13*k**2 - 6/13*k + 2/39*k**3. Factor c(t).
2*(t - 3)*(t + 1)/13
Determine y, given that 0*y**5 - 5*y**4 - 3*y**5 + 2*y**4 = 0.
-1, 0
Let g(z) = -z**3 + 6*z**2 - 3. Let h be g(6). Let l(d) = -d. Let k be l(h). What is u in 1/4*u**4 + 0 + 1/4*u**k - 1/4*u - 1/4*u**2 = 0?
-1, 0, 1
Let h(x) be the first derivative of 2*x**5/15 - 4*x**3/9 + 2*x/3 - 1. Factor h(t).
2*(t - 1)**2*(t + 1)**2/3
Let f = 113/12 + -35/4. Let u be ((-1)/2 + 2)*(-72)/(-162). Factor 2/3 - f*i**3 - 2/3*i**2 + u*i.
-2*(i - 1)*(i + 1)**2/3
Suppose 4*x - 2 - 14 = 0. Let r be 80/84 - x/6. Factor 0*h + 0 - r*h**2.
-2*h**2/7
Let b(p) be the first derivative of 1/6*p**3 + 1/12*p**4 - p + 0*p**2 - 1. Let t(y) be the first derivative of b(y). Factor t(a).
a*(a + 1)
Let p(a) be the third derivative of 0*a**3 + 1/600*a**6 + 0*a + 0*a**4 - a**2 + 0 - 1/1050*a**7 + 1/150*a**5. Find k such that p(k) = 0.
-1, 0, 2
Let u(d) be the first derivative of -2 - 2*d - 8*d**3 - 4*d**4 + 15/2*d**2. Determine k so that u(k) = 0.
-2, 1/4
Let t be 3/(-2)*12/(-9). Let y = 1 + -1. Solve y*j**t - 2/7*j**3 + 2/7*j + 0 = 0 for j.
-1, 0, 1
Let o = -3 - -5. Suppose -o*s + 4 + 0 = 0. What is p in -s*p - 1 + 0*p + 2*p**2 - 3*p**2 = 0?
-1
Let p(x) be the second derivative of x**9/45360 - x**7/3780 + x**5/360 + x**4/3 - 5*x. Let f(z) be the third derivative of p(z). Find g, given that f(g) = 0.
-1, 1
Let q = 3 - 1. Let p(v) = v**3 + 3*v**2 + 9*v + 14. Let n be p(-2). Let -2/7*j**q - 2/7*j**4 + 0*j + n - 4/7*j**3 = 0. What is j?
-1, 0
Suppose -3*o = -8*o. Let h be o + (-2 - (-48)/21). Factor 2/7*w**5 + 0*w**4 + 0*w + 0*w**2 - h*w**3 + 0.
2*w**3*(w - 1)*(w + 1)/7
Let w(s) be the first derivative of 3/20*s**4 + 3/2*s**2 + 6/5*s + 4/5*s**3 - 2. Factor w(q).
3*(q + 1)**2*(q + 2)/5
Let p = -4 - -7. Suppose -w = -0 - 3. Solve 5*f**2 - f**4 - 2*f**p + 2*f - w*f**2 + 0*f**4 - f**4 = 0 for f.
-1, 0, 1
Let m(k) be the third derivative of -k**6/24 - k**5/6 + 5*k**4/24 + 5*k**3/3 + 3*k**2. Factor m(c).
-5*(c - 1)*(c + 1)*(c + 2)
Let i(a) be the third derivative of 0 + 2/175*a**7 + 0*a**4 + 0*a**3 + 1/50*a**5 + 4*a**2 + 0*a + 9/200*a**6. Let i(d) = 0. Calculate d.
-2, -1/4, 0
Let q(o) be the third derivative of o**8/140 + 8*o**7/525 + o**6/150 - 11*o**2. Factor q(v).
4*v**3*(v + 1)*(3*v + 1)/5
Let h(a) be the first derivative of a**3/3 + a**2/2 - 2*a - 6. Factor h(z).
(z - 1)*(z + 2)
Suppose -5*g + 1 + 9 = 0. Determine c, given that 2*c**2 - c**2 + 0*c**g = 0.
0
Let b be -4*(0/(-4) - 1). Let c(p) be the first derivative of 1/14*p**b - 1 + 3/7*p**2 - 2/7*p**3 - 2/7*p. Find m such that c(m) = 0.
1
Let n = -35 + 107/3. Let d(z) = z**3 - 13*z**2 - 13*z - 11. Let o be d(14). Factor -2/3*s**2 + 2/3*s - n*s**o + 2/3.
-2*(s - 1)*(s + 1)**2/3
Let b(p) be the second derivative of p**6/120 - 3*p**5/80 + p**3/6 + p - 10. Factor b(x).
x*(x - 2)**2*(x + 1)/4
Let m(q) be the second derivative of -6*q - 1/4*q**4 + 0*q**2 + 0 - 3/2*q**3. Factor m(k).
-3*k*(k + 3)
Let x(r) be the second derivative of r**5/60 - 3*r**2/2 + r. Let g(l) be the first derivative of x(l). Factor g(m).
m**2
Factor z**5 + 4*z**3 - 2*z - 7*z**2 - z**5 - 5*z**4 - z**5 - 13*z**3.
-z*(z + 1)**3*(z + 2)
Let z(d) be the second derivative of -d**4/6 - d**3/3 + 8*d. Let z(g) = 0. What is g?
-1, 0
Let x(i) = -i**2 + 5*i + 16. Let c be x(7). Let o(w) be the second derivative of 1/20*w**4 + 3/25*w**5 + 0 - 3/10*w**c - 2/5*w**3 + w. Factor o(a).
3*(a - 1)*(a + 1)*(4*a + 1)/5
Factor 1/2*b**3 + 7/4*b**5 - 9/4*b**4 + 0*b**2 + 0 + 0*b.
b**3*(b - 1)*(7*b - 2)/4
Let o be 21*2/36 - (-2)/(-4). Factor 5/3*c - o -