be the first derivative of u**4 + 3 + 0*u**3 - 2/5*u**5 + 0*u + 0*u**2. Determine d so that s(d) = 0.
0, 2
Let i be ((0 - -1) + 0)*1. Let u(h) = -h**2 + h + 1. Let w(n) be the first derivative of 4*n**3/3 - 5*n**2 + 6*n - 1. Let s(x) = i*w(x) + 2*u(x). Factor s(m).
2*(m - 2)**2
Let t(y) be the second derivative of y**8/6720 - y**6/720 + y**4/96 - y**3/2 - 3*y. Let o(z) be the second derivative of t(z). Suppose o(i) = 0. What is i?
-1, 1
Let z(s) be the second derivative of -s**4/12 + 2*s**3/3 + s**2/2 + 3*s. Let c(o) = -o**2 + 5*o + 1. Let p(n) = 4*c(n) - 5*z(n). Factor p(h).
(h - 1)*(h + 1)
Let c(n) be the third derivative of -n**8/8064 + n**7/5040 + n**5/60 - 2*n**2. Let s(z) be the third derivative of c(z). Factor s(y).
-y*(5*y - 2)/2
Let n(w) be the second derivative of 0*w**6 + 0 + 0*w**2 + 0*w**4 - 1/24*w**3 + 1/40*w**5 - 1/168*w**7 - w. Factor n(b).
-b*(b - 1)**2*(b + 1)**2/4
Let a(o) = -2*o**2 - 2*o + 8 - 8. Let d(f) be the third derivative of f**5/10 + f**4/4 + 2*f**2. Let y(s) = 8*a(s) + 3*d(s). Solve y(q) = 0.
-1, 0
Let x = -6448/3 - -2094. Let v = 58 + x. Let -v*d + 2/3 - 10/3*d**2 = 0. What is d?
-1, 1/5
Let f(p) = 9*p**2 - 12*p + 8. Suppose u + 19 = -z, -2*z = 2*z + 2*u + 80. Let i(t) = 36*t**2 - 48*t + 33. Let j(w) = z*f(w) + 5*i(w). Factor j(o).
-3*(o - 1)*(3*o - 1)
Let a be (-2067)/(-26)*(-2)/(-6). Let p = -26 + a. What is y in 0*y + 0 - 1/2*y**2 + p*y**3 = 0?
0, 1
Solve -2/15*f**5 + 8/5 + 6/5*f**3 + 2/15*f**4 - 32/15*f - 2/3*f**2 = 0.
-2, 1, 3
Suppose 3*r = -r + 6*r. Factor 0*t**4 + 0*t + r + 0*t**2 + 0*t**3 + 2/9*t**5.
2*t**5/9
Let z(w) be the second derivative of w**9/15120 - w**7/1260 + w**5/120 - w**4/12 + 2*w. Let g(i) be the third derivative of z(i). Factor g(l).
(l - 1)**2*(l + 1)**2
Suppose -10/7*y**2 + 4/7*y + 0 + 2/7*y**4 + 6/7*y**3 - 2/7*y**5 = 0. Calculate y.
-2, 0, 1
Let z(q) be the second derivative of q**6/360 + q**5/45 + 5*q**4/72 + q**3/9 - 2*q**2 + 4*q. Let j(a) be the first derivative of z(a). Factor j(i).
(i + 1)**2*(i + 2)/3
Let l(m) be the first derivative of -2*m**3/21 - 2*m**2/7 + 6*m/7 + 1. Factor l(y).
-2*(y - 1)*(y + 3)/7
Let o(d) be the first derivative of -3*d**5/10 + 15*d**4/32 - d**3/8 - 1. Solve o(i) = 0.
0, 1/4, 1
Let v(m) = m**3 - 2*m**2 + 2*m - 2. Let i be v(2). Solve 1/4*w - 1/4*w**3 - 1/4 + 1/4*w**i = 0.
-1, 1
Let a be 23/(3/(1 - -2)). Factor -3*d**2 - 4 - a + 18*d**2 - 9*d - 3*d**3.
-3*(d - 3)**2*(d + 1)
Factor 4 + 2/3*j**2 - 14/3*j.
2*(j - 6)*(j - 1)/3
Suppose -4/13*k**4 + 2/13*k**3 + 4/13*k**2 + 0 - 2/13*k**5 + 0*k = 0. Calculate k.
-2, -1, 0, 1
Let h(q) be the first derivative of -q**5/60 - q**2 - 2. Let u(f) be the second derivative of h(f). Find j, given that u(j) = 0.
0
Let u(r) be the first derivative of -1/3*r**2 + 8 - 1/3*r**4 - 1/15*r**5 + 0*r - 5/9*r**3. Factor u(f).
-f*(f + 1)**2*(f + 2)/3
Suppose 0 = 2*p - 6*p. Let q(l) be the second derivative of 4/5*l**2 + 1/30*l**4 - 2*l + 4/15*l**3 + p. Factor q(m).
2*(m + 2)**2/5
Let 22/3*r + 1/3*r**2 + 121/3 = 0. What is r?
-11
Let x be 2/3 + (-8)/(-6). Suppose 0*t = x*t. Factor 0*s - 4/3*s**2 + t*s**3 + 2/3*s**4 + 2/3.
2*(s - 1)**2*(s + 1)**2/3
Factor -4*p - 2 + 3*p**4 + 7*p**4 + 4*p**3 - 8*p**4.
2*(p - 1)*(p + 1)**3
Let f(r) be the second derivative of 1/50*r**5 - 1/15*r**3 + 0*r**2 - 2*r + 1/75*r**6 - 1/30*r**4 + 0. Factor f(l).
2*l*(l - 1)*(l + 1)**2/5
Let f(m) be the first derivative of -m**6/6 - 3*m**5/20 + 13*m**4/16 + 17*m**3/12 + 3*m**2/8 - m/2 - 50. Let f(l) = 0. What is l?
-1, 1/4, 2
Let i(w) be the first derivative of w**4/12 + w**3/6 + 7*w - 2. Let g(z) be the first derivative of i(z). Factor g(l).
l*(l + 1)
Let g(b) be the first derivative of -b**5/20 + 3*b**4/16 - b**3/12 - 3*b**2/8 + b/2 - 6. Determine y so that g(y) = 0.
-1, 1, 2
Let j(o) be the second derivative of -o**6/6 + o**5/4 + 5*o**4/12 - 5*o**3/6 - 10*o. Determine k so that j(k) = 0.
-1, 0, 1
Factor 15 + 21 + 0*b**2 - 3*b - 9*b - 3*b**2.
-3*(b - 2)*(b + 6)
Let q be (-2 + 1)*(8 + -8). Find d such that -1/4*d**3 + 3/4*d + q*d**2 + 1/2 = 0.
-1, 2
Suppose -4*h - h = 0. Suppose 3*z = -5*j - 19, h*z + 4*j = -z - 18. What is a in 13 + 0*a**z - 12 - 2*a + a**2 = 0?
1
Let u = -2 - -1. Let r(m) = -m**3 - m**2 + 6*m - 4. Let n(b) = b - 5. Let w(x) = 1. Let o(h) = n(h) + 4*w(h). Let t(i) = u*r(i) + 5*o(i). Factor t(l).
(l - 1)*(l + 1)**2
Let l(r) be the second derivative of 1/20*r**5 + r + 0 + 0*r**2 + 0*r**3 - 1/12*r**4. Factor l(w).
w**2*(w - 1)
Let k(n) be the second derivative of 0*n**2 + 0 + 0*n**3 + 0*n**4 - 1/84*n**7 - n + 1/30*n**6 - 1/40*n**5. Factor k(y).
-y**3*(y - 1)**2/2
Suppose -7*d - 6 = -10*d. Let a(h) be the third derivative of -2*h**d + 1/120*h**5 + 1/12*h**3 + 0*h - 1/24*h**4 + 0. Factor a(i).
(i - 1)**2/2
Determine b so that 5*b**5 - 5*b**4 - 32*b**3 - 33*b**3 + 65*b**3 = 0.
0, 1
Let d be (-74)/(-170) + 6/(-30). Factor 0*j + 0 + 0*j**4 + d*j**2 - 6/17*j**3 + 2/17*j**5.
2*j**2*(j - 1)**2*(j + 2)/17
Let y be (-2)/14*(-2 + 0). Let n = 348 + -345. Find s such that -2/7*s**4 + 2/7*s**n - y*s + 6/7*s**2 - 4/7 = 0.
-1, 1, 2
Let j**2 - j**2 - 4*j**2 - 2*j**2 + 3*j**4 - 3*j**3 = 0. Calculate j.
-1, 0, 2
Suppose -4*f - r = -61, -3*f + 21 = -r - 30. Let d be (f/(-18))/(9/(-27)). Factor 2/3*v**2 + 8/3 - d*v.
2*(v - 2)**2/3
Let f(z) be the third derivative of 1/21*z**3 + 0*z + 0 - 1/420*z**6 - 1/28*z**4 - 2*z**2 + 1/70*z**5. Factor f(t).
-2*(t - 1)**3/7
Let v(a) = a**2 + 4*a + 2. Let z = -5 + 1. Let t be v(z). What is f in 1/4*f**3 + 1/4*f**4 - 1/4*f + 0 - 1/4*f**t = 0?
-1, 0, 1
Let f = 4/2297 - -29397/266452. Let y = 4/29 + f. Factor 0 + 1/4*g**4 + y*g**2 + 0*g + 1/2*g**3.
g**2*(g + 1)**2/4
Let t(v) = -2*v - 2. Let u be t(-2). Let s be 2*1/8*u. Factor 1/2*d**3 + 5/4*d**4 + 0 - 5/4*d**2 - s*d.
d*(d - 1)*(d + 1)*(5*d + 2)/4
Let x(q) be the second derivative of q**7/350 - q**6/200 - 5*q**2/2 - 8*q. Let b(f) be the first derivative of x(f). Determine s so that b(s) = 0.
0, 1
Let j(y) be the second derivative of y**5/130 + y**4/13 - y**3/39 - 6*y**2/13 + 8*y. Factor j(t).
2*(t - 1)*(t + 1)*(t + 6)/13
Let w be (14/21)/(2/3). Let m(o) be the first derivative of w + 1/4*o**2 + 0*o + 1/6*o**3. Factor m(v).
v*(v + 1)/2
Let o(h) be the first derivative of h**4/6 - 5*h**3/27 - h**2/6 + 2*h/9 + 8. Factor o(q).
(q - 1)*(2*q - 1)*(3*q + 2)/9
Let l = 20/23 + -48/161. Suppose -4/7*m**2 - 6/7*m**5 + 6/7*m**3 + 0*m + 0 + l*m**4 = 0. Calculate m.
-1, 0, 2/3, 1
Let d(l) be the third derivative of -l**6/120 - l**5/15 - l**4/8 + 22*l**2. Factor d(c).
-c*(c + 1)*(c + 3)
Let d(q) be the second derivative of -q**7/420 - q**6/180 + q**5/60 - q**4/3 - 2*q. Let b(l) be the third derivative of d(l). Factor b(i).
-2*(i + 1)*(3*i - 1)
Let c(m) be the third derivative of -125/84*m**8 + 0 + 0*m + 20/7*m**7 + 0*m**3 + 8/15*m**5 - 2*m**6 - 7*m**2 + 0*m**4. Let c(o) = 0. Calculate o.
0, 2/5
Let i(u) = -u**2 - 4*u + 4. Let q be i(-4). Suppose 0 = 2*h - q - 2. Solve 12*k - 4 - 13*k - 17*k - 22*k**h - 30*k**2 - 6*k**4 = 0.
-1, -2/3
Let x(i) = -i**2 - 4*i + 2. Let j(w) = 1. Let k(h) = -5*j(h) + x(h). Factor k(f).
-(f + 1)*(f + 3)
Suppose 9*v**2 + 14*v + 4 - 7/2*v**3 - 5/2*v**4 = 0. Calculate v.
-2, -1, -2/5, 2
Let r(o) be the first derivative of 1/20*o**4 - 10 + 2/5*o**2 + 4/15*o**3 + 0*o. Find g such that r(g) = 0.
-2, 0
Determine s so that -5/6*s**3 - 1/3*s**2 + 0*s + 1/3*s**5 + 0 - 1/6*s**4 = 0.
-1, -1/2, 0, 2
Determine k, given that 5/2*k - 6*k**4 - 1 + 7*k**2 - 5/2*k**3 = 0.
-1, -2/3, 1/4, 1
Factor 2*v**2 + 1/2*v**5 + 6*v + 0 - 9/2*v**3 + 0*v**4.
v*(v - 2)**2*(v + 1)*(v + 3)/2
Find f, given that -3/8*f**3 - 3/8*f**5 + 0*f + 0*f**2 + 0 + 3/4*f**4 = 0.
0, 1
Let v(s) be the third derivative of -s**5/12 + 25*s**4/24 - 10*s**3/3 - 31*s**2. Solve v(z) = 0.
1, 4
Let b = -248 - -528. Factor -32*k - b*k**3 - 100*k**4 - 176*k**2 + 11 - 11.
-4*k*(k + 2)*(5*k + 2)**2
Let y(c) = -c**2 + 1. Let a be y(1). Suppose 4*s - 15 = -3. Find j, given that 2/7*j**2 + a + 0*j + 2/7*j**s = 0.
-1, 0
Let v be (3/6)/(3/186). Suppose -5*q - 1 + v = 0. Suppose f - q*f + 5*f - 2*f**4 + 2*f**3 = 0. What is f?
0, 1
Let i be ((-3)/(-9))/((-1)/(-9)). Suppose -2*j = 5*n - 8, -4*j + 16 = -0*n + n. Suppose 2/9*p**i + 0*p**2 + n - 2/9*p = 0. Calculate p.
-1, 0, 1
Let k(o) be the second derivative of o**4/12 - 2*o**2 - 20*o. Factor k(n