e first derivative of w**3/3 - w**2 - 12. Factor a(b).
b*(b - 2)
Let r(d) be the second derivative of d**7/315 + d**6/90 + d**5/90 + 3*d**2/2 + 3*d. Let k(w) be the first derivative of r(w). Suppose k(m) = 0. What is m?
-1, 0
Let h = 1850/11 - 168. Find o, given that 0 + 0*o - h*o**3 - 2/11*o**2 = 0.
-1, 0
Let f be (-20)/8*(-20)/75. Determine h so that f*h**3 + h**4 - 2/3*h + 1/3 - 4/3*h**2 = 0.
-1, 1/3, 1
Let i(b) be the third derivative of 0*b - 3/175*b**7 + 1/40*b**6 + 3*b**2 + 3/50*b**5 - 1/5*b**3 + 0 - 3/40*b**4. Find d such that i(d) = 0.
-2/3, -1/2, 1
Let b be ((-7)/(-14))/(1/16). Factor c**4 + b*c**4 - 3*c + 3*c**5 - 3*c**2 - 3*c**2 - 3*c**4.
3*c*(c - 1)*(c + 1)**3
Suppose -4*g - 19 = -19. Let a(u) be the third derivative of 0*u**3 - 1/30*u**6 + 0 + g*u - 1/210*u**7 - 4*u**2 - 1/15*u**5 + 0*u**4. Solve a(i) = 0.
-2, 0
Solve -2*v**3 + 3*v**2 - 13*v**3 + 7*v**2 = 0 for v.
0, 2/3
Let y(k) be the third derivative of -k**5/60 + 7*k**4/12 - 49*k**3/6 + 19*k**2. Let y(c) = 0. Calculate c.
7
Let s = -4742/15 - -964/3. Determine g so that -s*g**2 - 22/5*g - 8/5*g**3 - 4/5 = 0.
-2, -1, -1/4
Let d = -1/2654 - 25183/79620. Let h = 1/12 - d. Factor 4/5*w + 0 + h*w**2.
2*w*(w + 2)/5
Let y(b) be the first derivative of b**6/12 - b**5/5 - b**4/8 + b**3/3 + 7. Factor y(i).
i**2*(i - 2)*(i - 1)*(i + 1)/2
Let b(a) be the second derivative of a**5/135 - 5*a**4/108 + 2*a**3/27 + 2*a**2 - 6*a. Let m(p) be the first derivative of b(p). Solve m(o) = 0 for o.
1/2, 2
Let w(k) be the first derivative of k**5/10 + 5*k**4/4 + 4*k**3 - 8*k**2 - 64*k - 9. Suppose w(o) = 0. What is o?
-4, 2
Let r(p) = -p**4 - 9*p**3 + 13*p**2 + p. Let v(a) = -a**4 + a**2 + a. Let w(m) = -r(m) + 4*v(m). Factor w(i).
-3*i*(i - 1)**3
Let w(u) be the first derivative of -u**6/300 + u**4/60 + 3*u**2/2 + 1. Let m(s) be the second derivative of w(s). Determine v, given that m(v) = 0.
-1, 0, 1
Let q(m) = -m**2 + 9*m - 9. Let d be q(7). Let l(g) be the first derivative of 1/5*g**d + g**2 + 0*g + g**4 + 5/3*g**3 + 2. Factor l(f).
f*(f + 1)**2*(f + 2)
Let i(f) = 11*f**2 + 7. Let t(q) be the second derivative of -5*q**4/12 - 3*q**2/2 + q. Let x(z) = -4*i(z) - 9*t(z). Suppose x(w) = 0. What is w?
-1, 1
Let p(o) be the first derivative of 2*o**5/25 - o**4/10 - 2*o**3/15 + o**2/5 - 7. Solve p(v) = 0.
-1, 0, 1
Let l(c) be the first derivative of 1/4*c**2 - 1 + 1/10*c**5 + 1/2*c**3 + 3/8*c**4 + 0*c. Factor l(h).
h*(h + 1)**3/2
Let r(d) be the first derivative of d**6/10 + 7*d**5/25 + 3*d**4/20 - d**3/5 - d**2/5 + 3. Factor r(b).
b*(b + 1)**3*(3*b - 2)/5
Let h = 9 + -7. Let x be ((-1)/h)/(1/(-1)). Factor 0 + 2*n**2 + 0*n + 2*n**3 + x*n**4.
n**2*(n + 2)**2/2
Suppose 5*z = 4*z - 1. Let u be (28/8)/(-7) - z. Factor -1/2*w + u*w**2 + 0.
w*(w - 1)/2
Factor h**2 - 2*h**2 + 2*h**2 + h**4 - 2*h**3.
h**2*(h - 1)**2
Let u(q) = -q**3 + q**2 + 1. Let r(g) = 12*g**3 - 13*g**2 - 11. Suppose 150 - 40 = 5*h. Let i(n) = h*u(n) + 2*r(n). Factor i(x).
2*x**2*(x - 2)
Let i = -83/7 - -32/21. Let b = i + 161/15. Determine p so that 0 + 0*p + 2/5*p**3 + 0*p**2 - b*p**4 = 0.
0, 1
Let d(u) be the third derivative of -u**2 + 0*u - 1/10*u**3 - 1/100*u**5 + 0 + 1/12*u**4. Factor d(x).
-(x - 3)*(3*x - 1)/5
Let x(b) be the second derivative of -b**6/240 - b**5/80 + b**4/96 + b**3/24 + 34*b. Factor x(f).
-f*(f - 1)*(f + 1)*(f + 2)/8
Let k(x) be the second derivative of -x**6/6 + 17*x**5 - 1445*x**4/2 + 49130*x**3/3 - 417605*x**2/2 + 2*x - 21. Solve k(s) = 0 for s.
17
Let t(b) be the second derivative of b**7/252 - b**6/45 + b**5/20 - b**4/18 + b**3/36 + 8*b. Find f, given that t(f) = 0.
0, 1
Factor -186*z + 24 - 8*z**4 - 3*z**5 - 8*z**5 + 272*z**2 + 38*z + 39*z**5 - 168*z**3.
4*(z - 1)**3*(z + 3)*(7*z - 2)
Let n(c) = 7*c**3 - 5*c**2 + c - 3. Let b(i) = -i**3 - i**2 + i + 1. Let t(o) = -3*b(o) - n(o). Factor t(x).
-4*x*(x - 1)**2
Let r(y) be the second derivative of y**4/12 + y**3/2 + y**2 + 7*y. Factor r(c).
(c + 1)*(c + 2)
What is l in 6/5*l**3 - 16/5*l**2 + 8/5*l + 0 + 4/5*l**4 - 2/5*l**5 = 0?
-2, 0, 1, 2
Let q(m) be the third derivative of -m**5/120 + m**3/12 - 8*m**2. Determine d, given that q(d) = 0.
-1, 1
Suppose 3*y + 11 - 23 = 0. Let x(k) be the third derivative of -1/24*k**y + 0*k - 1/60*k**5 + 0 + 3*k**2 + 1/3*k**3. Factor x(g).
-(g - 1)*(g + 2)
Suppose 2*r + 3*z = r + 64, 0 = r - 3*z - 64. Find x, given that -40*x**2 - 19*x**3 - 57*x**3 + r*x**2 + 100*x**5 = 0.
-1, 0, 2/5, 3/5
Suppose 8*h + 23 = 5*v + 5*h, 4*h = -2*v + 4. Suppose -2/3*y**5 - 28/3*y**3 + 32/3*y**2 + 4/3 - 6*y + v*y**4 = 0. Calculate y.
1, 2
Suppose 15 = 3*g - 4*c, 5*c + 4 - 1 = 2*g. Let v = 9 - g. What is u in 4/5*u**2 + 0*u + 2/5*u**3 + v = 0?
-2, 0
Suppose k**2 + 6*k - 3*k**2 - 4 + 0*k = 0. Calculate k.
1, 2
Let v(s) be the first derivative of 2*s + 2 + s**2 - 1/2*s**4 - 2/3*s**3. Factor v(k).
-2*(k - 1)*(k + 1)**2
Factor 625 + 34*s**2 + 18*s**2 - 375*s - 5*s**3 + 23*s**2.
-5*(s - 5)**3
Let o be (9/4)/(6/16). Factor -o*t**2 - 2*t + 4*t**4 + t**4 + 3*t**5 + t**4 - t.
3*t*(t - 1)*(t + 1)**3
Let s be (0 + -4)*(-3 + 2). Let x be (-16)/s*(-2)/14. Factor 2/7*y**3 + x*y + 6/7*y**2 + 0.
2*y*(y + 1)*(y + 2)/7
Let a(r) be the third derivative of r**5/12 - 5*r**4/12 + 5*r**3/6 + 14*r**2. Determine z so that a(z) = 0.
1
Let x(a) be the third derivative of -a**8/672 - 3*a**7/280 - a**6/30 - 7*a**5/120 - a**4/16 - a**3/24 - 4*a**2. Factor x(j).
-(j + 1)**4*(2*j + 1)/4
Let -104*p**2 - 44/3*p**4 - 112/3*p + 32/3 - 212/3*p**3 = 0. What is p?
-2, -1, 2/11
Let i(h) = h - 1. Let t be 0/(7 + -3 - 3). Suppose t = -3*a + a - 2. Let o(x) = -2*x**2 + 2*x - 12. Let u(k) = a*o(k) + 8*i(k). Let u(y) = 0. Calculate y.
-2, -1
Let f be (-10 - -11) + -1 + 7. Factor -6*j**3 - 4 - 6 + 9*j**2 + f.
-3*(j - 1)**2*(2*j + 1)
Let n(x) be the third derivative of -x**5/270 + x**4/18 - 8*x**3/27 - 26*x**2. Factor n(w).
-2*(w - 4)*(w - 2)/9
Let h(c) be the first derivative of -c**4/2 + 2*c**3 - 2*c**2 + 46. Factor h(z).
-2*z*(z - 2)*(z - 1)
Let a be (-6)/(-4) + 5/10. Factor -2*v**3 - 3*v + 2*v**a + v + 6*v.
-2*v*(v - 2)*(v + 1)
Let m(h) be the first derivative of -3*h**4/10 - 2*h**3/3 - 2*h**2/5 - 13. Factor m(y).
-2*y*(y + 1)*(3*y + 2)/5
Let n(j) be the second derivative of -j**7/210 - j**6/120 - j**2 + 2*j. Let s(p) be the first derivative of n(p). What is b in s(b) = 0?
-1, 0
Let f = 2 - 0. Suppose 0 = -2*m - 2*u + f, -3*m - m + 3*u = 3. Let 2*s**3 + m*s**5 + 3*s**4 - 4*s**3 - s**5 = 0. Calculate s.
0, 1, 2
Let x(c) = -c - 2. Let p be x(-4). Let o(h) be the first derivative of -1/8*h**4 + 1/24*h**6 - 1/4*h - 2 + 1/8*h**p + 1/6*h**3 - 1/20*h**5. Factor o(w).
(w - 1)**3*(w + 1)**2/4
Let k(p) be the third derivative of 3/20*p**5 + 1/4*p**4 + 0*p**3 + 0 + 3*p**2 - 7/20*p**6 + 0*p. What is y in k(y) = 0?
-2/7, 0, 1/2
Let c(n) be the first derivative of n**5/20 + n**4/8 - n**2/4 + 3*n - 3. Let u(r) be the first derivative of c(r). Suppose u(b) = 0. Calculate b.
-1, 1/2
Factor -3/2*w**3 + 27/2*w**2 + 0*w + 0.
-3*w**2*(w - 9)/2
Let i = -6 - -6. Let s = 0 + i. Factor -1/3 + 2*r**2 + s*r + r**4 - 8/3*r**3.
(r - 1)**3*(3*r + 1)/3
Let y be (9/(-15))/((-2)/10). Factor 7*n**4 - 3*n**3 + 3*n**4 - 2*n**2 + 11*n**y + 4*n**5 + 4*n**2.
2*n**2*(n + 1)**2*(2*n + 1)
Let q(i) be the first derivative of i**2/2 + i + 1. Let b be q(2). Factor 3*m**4 - 6*m + 2*m**3 + 4*m**3 - b*m**2 + 0*m**4.
3*m*(m - 1)*(m + 1)*(m + 2)
Let v(t) be the first derivative of -4*t**6/15 + 18*t**5/25 + t**4 - 38*t**3/15 - 12*t**2/5 + 8*t/5 - 18. Determine i so that v(i) = 0.
-1, 1/4, 2
Let s(w) be the first derivative of 0*w + 1/6*w**4 - 4 + 4/9*w**3 + 1/3*w**2. Factor s(d).
2*d*(d + 1)**2/3
Let h be ((-3)/(-9))/(2/6). Suppose 4*b - h = 11. Determine u, given that 0 - 2/9*u - 2/9*u**b - 4/9*u**2 = 0.
-1, 0
Let x(d) be the second derivative of -2*d + 0*d**2 + 1/14*d**7 - 1/4*d**4 + 1/10*d**6 + 0 - 3/20*d**5 + 0*d**3. Factor x(r).
3*r**2*(r - 1)*(r + 1)**2
Factor 4/9*b**3 - 2/9 - 2/9*b - 2/9*b**4 - 2/9*b**5 + 4/9*b**2.
-2*(b - 1)**2*(b + 1)**3/9
Let h(m) be the second derivative of 1/2*m**3 + 3/140*m**5 + 0 + 8*m + 9/14*m**2 + 5/28*m**4. Find i such that h(i) = 0.
-3, -1
Let a be (-138)/(-70) + (-12)/(-28). Factor a*r**3 + 26/5*r**2 + 2/5*r**4 + 24/5*r + 8/5.
2*(r + 1)**2*(r + 2)**2/5
Let u(z) be the second derivative of -z**3 + 1/4*z**4 