ive of x(r). Let b(y) = 0. What is y?
-2, -1
Let i(g) be the second derivative of -g**4/12 - 5*g**3/3 - 25*g**2/2 + 18*g. Factor i(j).
-(j + 5)**2
Let m be (-1 + 55/35)/(12/42). Solve 0 + 1/4*u + 1/4*u**3 - 1/2*u**m = 0 for u.
0, 1
Let o(m) be the first derivative of m**6/3 - 2*m**5/5 - m**4 + 4*m**3/3 + m**2 - 2*m - 12. Factor o(i).
2*(i - 1)**3*(i + 1)**2
Let c be -2 + (-4 - -4 - -4). Factor 1/4*j**4 + 0 + 1/4*j**c + 0*j + 1/2*j**3.
j**2*(j + 1)**2/4
Let i(d) be the first derivative of d**3/21 - d/7 - 3. Factor i(c).
(c - 1)*(c + 1)/7
Let v(t) be the first derivative of 2*t**3/9 + t**2/3 - 7. Factor v(s).
2*s*(s + 1)/3
Let b(f) be the second derivative of -f**7/22680 + f**6/6480 + 5*f**4/6 - 5*f. Let h(q) be the third derivative of b(q). Factor h(k).
-k*(k - 1)/9
Let b be ((-12)/10)/((64/(-10))/16). Factor -6/7*q + 2/7 + 6/7*q**2 - 2/7*q**b.
-2*(q - 1)**3/7
Let s(u) be the third derivative of 0 + 6*u**2 + 0*u**3 + 0*u**4 + 0*u - 1/600*u**6 + 1/300*u**5. Factor s(b).
-b**2*(b - 1)/5
Let r(s) be the second derivative of s**4/24 + s**3/12 - s**2/2 - 3*s. What is m in r(m) = 0?
-2, 1
Let v(i) be the first derivative of 3/10*i**5 + 1/4*i**6 + 0*i**2 - 1/2*i**3 - 1 - 3/8*i**4 + 0*i. Factor v(j).
3*j**2*(j - 1)*(j + 1)**2/2
Suppose 0 = -2*f + 4*f - 50. Determine l, given that -16*l**4 - 8*l**2 - 2*l**5 - 2*l**5 - f*l**3 + 5*l**3 = 0.
-2, -1, 0
Suppose 11*n - 48 = -4. Factor -1/3 - 1/3*s**5 - 1/3*s**n - 1/3*s + 2/3*s**3 + 2/3*s**2.
-(s - 1)**2*(s + 1)**3/3
Factor o - o**4 - 3*o**2 + 3*o**3 - 3702 + 3702.
-o*(o - 1)**3
Factor 3*g**4 + 18*g**2 - 13*g**3 - 6 + 9*g + 4*g**3 - 15*g**2.
3*(g - 2)*(g - 1)**2*(g + 1)
Let f(w) = -w**2 - 8*w - 12. Let c be f(-4). Find q, given that 2/5*q**2 + 2/5*q**c + 0 + 4/5*q**3 + 0*q = 0.
-1, 0
Factor 4*k**4 - 84*k**2 + 50*k**5 + k**4 - 10*k**3 + 84*k**2.
5*k**3*(2*k + 1)*(5*k - 2)
Let g(m) = -m**3 + 4*m - 3. Let x(v) = -3*v**3 + 7*v - 5 + 0*v + 4*v - 3. Let q(f) = 8*g(f) - 3*x(f). Let q(i) = 0. What is i?
-1, 0, 1
Let t(a) be the second derivative of 3/5*a**5 + 0*a**2 + 2/3*a**3 - a**4 + 5*a - 2/15*a**6 + 0. Let t(c) = 0. What is c?
0, 1
Let s(x) = -x**3 - x**2 - x - 1. Suppose 3 + 15 = 3*w. Let q(m) = 5*m**3 + 6*m**2 + 7*m + 6. Let v(t) = w*s(t) + q(t). Factor v(d).
-d*(d - 1)*(d + 1)
Let b(l) be the third derivative of -l**6/240 - l**5/30 - 17*l**2. Factor b(f).
-f**2*(f + 4)/2
Suppose 4*q = -3 - 17. Let x = 7 + q. Factor w**2 + 0*w**3 + 3*w**4 + 0*w**4 - 2*w**3 - x*w**4.
w**2*(w - 1)**2
Let j be (42/5)/(8/(-30)). Let c = 32 + j. Factor 1/4 + 1/4*p**2 - c*p.
(p - 1)**2/4
Let a(k) = -k - 1. Let f be a(-4). Let l(t) be the first derivative of -2/3*t - 1 + 1/2*t**2 + 2/9*t**f. Suppose l(o) = 0. What is o?
-2, 1/2
Suppose 0 = -q - 5*l + 11, -4*q + 2*l - 17 = 5. Let z be q/((-8)/(-2))*-3. Factor 0*d**2 + 0 - 2/3*d**z + 0*d**4 + 1/3*d + 1/3*d**5.
d*(d - 1)**2*(d + 1)**2/3
Let m(d) = d**2 + 11*d - 12. Let s be m(-12). Let h be 30/9 + s/(-2). Determine g so that h*g + 2*g**2 + 4/3 - 2/3*g**4 - 2/3*g**3 = 0.
-1, 2
Let s be (2 - 3)*(-1 + 1). Let l(k) be the third derivative of 1/30*k**5 + k**2 + 0 + s*k - 1/4*k**4 + 2/3*k**3. Factor l(z).
2*(z - 2)*(z - 1)
Let r(w) be the third derivative of -w**7/42 - w**6/4 - w**5 - 5*w**4/3 + 11*w**2. Factor r(h).
-5*h*(h + 2)**3
Let i(s) = 2*s - 2. Let v be i(2). Solve 0*m**2 + v*m**2 + 0 - 2 = 0.
-1, 1
Let j = 9 - 5. Factor -d - 2*d**3 + 4*d**4 + 3*d**5 + 0*d**3 - 8*d**j + 4*d**2.
d*(d - 1)**2*(d + 1)*(3*d - 1)
Let t(j) be the third derivative of -j**6/480 + j**4/96 + 9*j**2. Factor t(f).
-f*(f - 1)*(f + 1)/4
Let p(u) = -u + 1. Let g be p(-6). Find k, given that 6*k**2 - k**4 - 8*k**3 - 4 - 5*k**3 - 3*k**3 - g*k**4 + 10*k = 0.
-2, -1, 1/2
Let u(o) = -2*o**3 + 5*o**2 - 7*o. Let d be 4*(-4)/(-4 - -8). Let n(t) = -t**3 + 3*t**2 - 4*t. Let x(r) = d*u(r) + 7*n(r). Let x(s) = 0. What is s?
-1, 0
Let k be (6/7)/(-4 + (-256)/(-56)). Factor 0*z + 1/2*z**5 + 0 + 3/2*z**3 + 1/2*z**2 + k*z**4.
z**2*(z + 1)**3/2
Let r(m) = -m**5 + m**4 + m**3 + m. Let i(o) = 22*o**5 - 36*o**4 - 4*o**3 - 12*o. Let k(c) = -i(c) - 12*r(c). Factor k(x).
-2*x**3*(x - 2)*(5*x - 2)
Let m = -8/71 + 119/426. Let 2/3*k + 0 + 5/6*k**3 + 4/3*k**2 + m*k**4 = 0. Calculate k.
-2, -1, 0
Let f be (36/88)/((-72)/(-672)). Determine k, given that f*k**4 + 0 + 30/11*k**2 + 4/11*k + 68/11*k**3 = 0.
-1, -1/3, -2/7, 0
Let h = 15 - 11. Suppose 0 = -s + 4*f + 9, 3*f - 22 = -7*s + 2*s. Factor -4*a**2 - h*a + s*a**2 + a**2 + 2.
2*(a - 1)**2
Let r(c) = -2*c - 16. Let y be r(-9). Let u(i) be the third derivative of 0*i - 1/60*i**4 + 1/300*i**6 - 1/15*i**3 + i**y + 0 + 1/150*i**5. Factor u(b).
2*(b - 1)*(b + 1)**2/5
Let p(n) be the second derivative of -9*n**4/8 + 3*n**3/2 - 3*n**2/4 - 5*n. Solve p(b) = 0 for b.
1/3
Suppose -5*r - 48 = -2*r. Let h = -8 - r. Find c, given that -1/3*c**2 - 16/3*c**4 - 1/3 + h*c**3 - 2*c = 0.
-1/4, 1
Suppose 3*h - 2*i = 17, 2*h + 6*i = 2*i + 22. Let q be h + -9 + 9/4. Factor -3/4*v**2 - 1/4*v**3 - q - 3/4*v.
-(v + 1)**3/4
Factor 3*a**4 + 7*a**3 + 5*a**5 + 20*a**2 - 23*a**4 - 20*a + 8*a**3.
5*a*(a - 2)**2*(a - 1)*(a + 1)
Let p(z) be the first derivative of z**7/1050 + z**6/300 + z**5/300 + z**2 - 3. Let w(q) be the second derivative of p(q). Factor w(n).
n**2*(n + 1)**2/5
Suppose 20 = -4*i - 4. Let v be ((-2)/6)/(4/i). Suppose -3/2*f**3 + v*f**2 + 3/2*f**4 + 0 - 1/2*f**5 + 0*f = 0. What is f?
0, 1
Let i(o) = 5*o**2 - o + 3. Let b(v) = 9*v**2 - 3*v + 5. Let s(c) = -3*b(c) + 5*i(c). Suppose s(w) = 0. Calculate w.
0, 2
Let j(b) be the first derivative of 2*b**3/21 + 8*b**2/7 + 32*b/7 + 3. Find l such that j(l) = 0.
-4
Let h be (40/(-70))/(20/(-14)). Determine k, given that -2/5*k + h*k**2 - 4/5 = 0.
-1, 2
Let g = -510 + 510. What is s in 17/3*s**3 - 2/3*s + 1/3*s**2 + 14/3*s**4 + g = 0?
-1, -1/2, 0, 2/7
Let b(d) be the first derivative of 3/20*d**5 + 0*d + 2 + 0*d**2 + 0*d**3 - 1/8*d**4 + 5/24*d**6. Solve b(y) = 0.
-1, 0, 2/5
Let d(w) be the third derivative of -5*w**8/336 + w**7/21 - w**6/24 + 2*w**2. Let d(r) = 0. What is r?
0, 1
Let t(i) = i**2 - 2*i + 3. Let j = 1 + -4. Let l(z) = z**2 - z + 2. Let x(g) = j*l(g) + 2*t(g). Factor x(m).
-m*(m + 1)
Let b(m) be the third derivative of 0*m + 1/21*m**3 + 1/70*m**5 - 3*m**2 + 1/28*m**4 + 0 + 1/420*m**6. Suppose b(v) = 0. Calculate v.
-1
Suppose -4 + 24 = 4*y. Suppose -2*u - v + 4 = -2*v, y*u - 10 = -v. Factor 2/9*o**u + 0 + 0*o.
2*o**2/9
Let z(o) = 30*o**2 + 60*o + 51. Let u(s) = 8*s**2 + 6*s + 10. Let w(h) = h**2 + 1. Let q(x) = -u(x) + 5*w(x). Let b(p) = 21*q(p) + 2*z(p). Factor b(a).
-3*(a + 1)**2
Suppose 4*n = 5*p - 14, 4*p - 12 = -n + 5*n. Suppose 4*u - p*u - u**2 - u = 0. What is u?
0, 1
Let t be (-17)/(-7) + (-15)/35. Factor -4/7*o + 6/7*o**4 + 0 - 16/7*o**3 + t*o**2.
2*o*(o - 1)**2*(3*o - 2)/7
Let n(f) be the third derivative of f**7/105 - f**5/15 + f**3/3 + 14*f**2. Factor n(x).
2*(x - 1)**2*(x + 1)**2
Let o(l) be the first derivative of -5 + 1/5*l**2 + 1/5*l + 1/15*l**3. Factor o(w).
(w + 1)**2/5
Let k(n) = n**3 + 6*n**2 + 4*n - 13. Let c be k(-4). Let o(h) be the first derivative of 0*h**4 - c + 0*h**3 + 1/10*h**5 + 0*h**2 + 0*h. Factor o(t).
t**4/2
Suppose -5*w + 14 = 4. Factor -z - 5*z**2 + 6*z**w + 9 - 5*z.
(z - 3)**2
Let a(y) = -3*y**3 + 3*y**2 - 2*y - 1. Let v be a(-3). Factor -24*x**3 - 4*x**5 + x + 16*x**2 + 129*x**4 - v*x**4 - 5*x.
-4*x*(x - 1)**4
Let h(u) be the third derivative of -u**5/210 - u**4/42 + u**2. Let h(m) = 0. Calculate m.
-2, 0
Let f(v) be the first derivative of 3/4*v**2 + 1/2*v**3 - 3/2*v - 3/8*v**4 + 4. What is x in f(x) = 0?
-1, 1
Let v(a) be the second derivative of -a**4/3 - 8*a**3/3 - 8*a**2 + 28*a. Let v(n) = 0. Calculate n.
-2
Let u(w) = -w**3 - 3*w**2 + 7*w + 9. Let n be u(-4). Let f be ((-3)/n - 5)/(-1). Suppose -1/2*z**f + 0 + 0*z**2 + 1/2*z**5 - z**3 + 0*z = 0. Calculate z.
-1, 0, 2
Suppose f + 1/2 + 1/2*f**2 = 0. Calculate f.
-1
Let k(i) = 3*i**4 + 9*i**3 - 6*i**2 + 6. Let d(u) = -8*u**4 - 26*u**3 + 17*u**2 - 17. Let m(f) = 6*d(f) + 17*k(f). Factor m(j).
3*j**3*(j - 1)
Let f(q) = -q - 4. Let z = -15 + 9. Let t be f(z). Factor r**5 + r**2 + t*r**4 - 4*r**3 + 7*r**3 + r**4.
r**2*(r + 1)**3
Suppose -5*f + 3*f = -80. Let u = f + -118/3. Solve -2/3*p**3 + 0*p**2 + 0*p + 0 - u*p**4 = 0.
-1, 0
Find f, given that 8*f**3 + 2*f + 0*f