*f**2. Find u, given that c(u) = 0.
-2, 2
Let r(n) be the first derivative of -1/210*n**5 + 1 + 0*n**3 + 1/2*n**2 + 0*n + 0*n**4. Let d(a) be the second derivative of r(a). Factor d(v).
-2*v**2/7
Suppose -3*c + 5*l = -0*l - 38, 2*l - 42 = -4*c. Solve 6 + v**2 - 33 - 7*v - c*v - 4*v**2 = 0 for v.
-3
Let m = -5 - -5. Find f such that 0*f**5 + f**4 + m*f**4 + 2*f**5 + f**4 = 0.
-1, 0
Let k(f) be the second derivative of -f**6/10 - 3*f**5/20 + f**4/2 + 3*f. Suppose k(t) = 0. Calculate t.
-2, 0, 1
Let r(t) = -t + 2. Let i be r(-5). Factor 11*l**4 - i*l**3 + 4*l**3 + 0*l**3 - 8*l**4.
3*l**3*(l - 1)
Factor 16/9*n - 2/9*n**2 - 32/9.
-2*(n - 4)**2/9
Let a(i) be the second derivative of -i**5/20 + i**4/4 - i**3/2 + i**2/2 + 16*i. Let a(m) = 0. Calculate m.
1
Let a(d) be the first derivative of 4/21*d**3 + 1/7*d**2 - 1/21*d**6 + 0*d**4 + 0*d - 4/35*d**5 - 1. Solve a(o) = 0 for o.
-1, 0, 1
Let g(v) = v**3 - 13*v**2 + 12*v + 3. Let m be g(12). Suppose -9 = -0*j - m*j. Factor -1/4*c**4 + 1/4*c**2 + 0*c + 1/4*c**5 + 0 - 1/4*c**j.
c**2*(c - 1)**2*(c + 1)/4
Let v(t) be the third derivative of 0*t + 0*t**3 - 1/896*t**8 + 0*t**5 + 0 - 1/280*t**7 + 0*t**4 - 4*t**2 - 1/320*t**6. Factor v(l).
-3*l**3*(l + 1)**2/8
Let h(i) = 8*i**2 + 1. Let x be h(-1). Let c = -9 + x. Solve t - t + t**2 + c*t**2 = 0.
0
Factor -33*d**2 + 27*d**2 - 2*d**3 - d**3.
-3*d**2*(d + 2)
Let m(a) be the third derivative of -a**9/75600 + a**8/33600 + a**7/12600 - a**6/3600 - a**4/4 - 6*a**2. Let k(w) be the second derivative of m(w). Factor k(h).
-h*(h - 1)**2*(h + 1)/5
Let x be 118/28 + 5/10. Let w = x + -151/35. Determine z, given that 4/5*z - 2/5*z**2 + 0 - w*z**3 = 0.
-2, 0, 1
Let z(d) be the first derivative of 1/3*d**3 - 1/8*d**2 + 2 + 0*d. Factor z(h).
h*(4*h - 1)/4
Let b = 792 - 790. What is j in 330/7*j**b + 96/7*j + 8/7 + 242/7*j**3 = 0?
-1, -2/11
Let t(w) = -4*w**2 + 2*w + 2. Let x(y) = 15*y**2 - 8*y - 7. Let o(u) = 22*t(u) + 6*x(u). Factor o(q).
2*(q - 1)**2
What is m in 0*m - 1/3*m**5 + 0*m**3 - 4/3*m**2 + 0 + m**4 = 0?
-1, 0, 2
Let k(r) be the third derivative of r**5/60 + r**4/6 - 5*r**3/6 + 14*r**2 - 2. Factor k(s).
(s - 1)*(s + 5)
Let m be (7 + -4)*2/3. Factor 0 - c - 1/2*c**m.
-c*(c + 2)/2
Suppose 0 = -8*f + 235 - 27. Suppose -4/3*n - f*n**3 - 10*n**5 + 10*n**2 + 82/3*n**4 + 0 = 0. Calculate n.
0, 1/3, 2/5, 1
Suppose -w - 20 = 4*w + 5*g, 0 = 5*g. Let s be 1/4 - w/(-16). Let 0*b - 2/7*b**2 - 12/7*b**3 - 8/7*b**5 + s - 18/7*b**4 = 0. Calculate b.
-1, -1/4, 0
Let m(t) be the second derivative of -4*t**2 + 16/21*t**7 - 5/6*t**4 - 8*t**3 + 0 + 2*t - 24/5*t**6 + 89/10*t**5. What is d in m(d) = 0?
-1/4, 1, 2
Let d(n) be the third derivative of -7/90*n**5 - 7*n**2 + 1/36*n**6 + 0 + 0*n + 1/18*n**4 + 0*n**3. Factor d(h).
2*h*(h - 1)*(5*h - 2)/3
Let o(g) be the second derivative of -g**6/60 - g**5/40 + g**4/12 - g. Factor o(x).
-x**2*(x - 1)*(x + 2)/2
Let o = -10 - -14. Suppose 0*m - 2*m + o = -2*j, 0 = 4*m + j - 8. Find q, given that -1/3*q**4 + 0 + 1/3*q**m - 1/3*q**3 + 0*q + 1/3*q**5 = 0.
-1, 0, 1
Let y(w) be the first derivative of w**4/24 - w**3/9 - w**2/12 + w/3 - 8. Factor y(h).
(h - 2)*(h - 1)*(h + 1)/6
Let w = 2373 - 28727/12. Let x = w + 89/4. Factor -2/3*i**2 - 2/3*i**3 + 0 + x*i.
-2*i*(i - 1)*(i + 2)/3
Let t be 64/24*6/4. Let o(m) be the first derivative of 0*m - 1/3*m**6 - 1 - 3/2*m**t - 2/3*m**3 - 6/5*m**5 + 0*m**2. Determine b so that o(b) = 0.
-1, 0
Let w(y) be the second derivative of 2*y + 1/6*y**3 + 0 - 1/72*y**4 + 1/1080*y**6 + 0*y**2 + 0*y**5. Let d(j) be the second derivative of w(j). Factor d(z).
(z - 1)*(z + 1)/3
Let h = -310/611 - -458/3055. Let w = 2/47 - h. Factor 0*s + w*s**3 - 2/5*s**2 + 0.
2*s**2*(s - 1)/5
Let m(r) be the first derivative of r**6/33 + 4*r**5/55 - 4*r**3/33 - r**2/11 - 9. Factor m(n).
2*n*(n - 1)*(n + 1)**3/11
Factor -2*n**2 - n**2 + 1 - 9*n - 3*n - 13.
-3*(n + 2)**2
Let w(o) be the second derivative of -4/5*o**2 - 1/6*o**4 + 8/15*o**3 + 1/50*o**5 + 2*o + 0. Solve w(g) = 0 for g.
1, 2
Let j = -18 + 21. Suppose -2/3*z**j + 0 + 0*z**2 + 0*z + 2/3*z**4 = 0. Calculate z.
0, 1
Let k = -1904/5 + 381. Solve -1/5 + 2/5*w - k*w**2 = 0 for w.
1
Let c(s) be the third derivative of 1/75*s**5 + 0*s**3 + 0*s**4 + 1/100*s**6 - 2*s**2 + 0 + 0*s. Factor c(v).
2*v**2*(3*v + 2)/5
Find m such that 0 + 8/15*m - 2/15*m**3 + 0*m**2 = 0.
-2, 0, 2
What is l in 0 + 2/3*l**4 + 14/15*l**2 + 2/15*l**5 + 4/15*l + 6/5*l**3 = 0?
-2, -1, 0
Let y(p) = 10*p**2 - 24*p - 20. Let k(g) = -2*g**2 + 5*g + 4. Let u(d) = -28*k(d) - 6*y(d). Find o such that u(o) = 0.
-1, 2
Let r(l) be the third derivative of -l**7/245 + l**6/140 + l**5/70 - l**4/28 + 32*l**2 - 1. Let r(m) = 0. What is m?
-1, 0, 1
Suppose 2*b + 0*p - p - 11 = 0, 2*b - 7 = -3*p. Factor -8/7*q**2 - 2/7*q**b - 8/7*q + 0 + 6/7*q**3 + 4/7*q**4.
-2*q*(q - 2)**2*(q + 1)**2/7
Solve 6*q**5 + 18*q**3 - 8*q**3 + 8*q**4 + 4*q**2 - 4*q**5 = 0 for q.
-2, -1, 0
Let o = 97 + -92. Let u(h) be the second derivative of -7/10*h**4 - 3*h + 1/3*h**6 + 0 + 4/3*h**3 - 4/5*h**2 - 2/5*h**o. What is w in u(w) = 0?
-1, 2/5, 1
Let r(c) = -2*c**2 + 2*c - 4. Let h be r(6). Let p be (15/(-20))/(30/h). Factor -2/5*v**2 - p + 8/5*v.
-2*(v - 2)**2/5
Let n(j) be the second derivative of -j**9/1512 - j**8/525 - j**7/2100 + j**6/450 + 2*j**3/3 - 5*j. Let p(l) be the second derivative of n(l). Factor p(r).
-2*r**2*(r + 1)**2*(5*r - 2)/5
Suppose 2*r - 11 = -3*k, 3*k + 6 = r + 5. Solve -3/5*z**3 + 0 + 0*z + 3/5*z**r - 3/5*z**2 + 3/5*z**5 = 0.
-1, 0, 1
Let r be 36/273*28/8. Factor 2/13*x**3 - 6/13*x**2 - 2/13 + r*x.
2*(x - 1)**3/13
Let p be 6/9 + 4/(-6). Let k(r) be the first derivative of 1 + 7/8*r**4 + 3/2*r**3 + 1/2*r**2 + p*r. Factor k(b).
b*(b + 1)*(7*b + 2)/2
Suppose c - 2 = -0. Suppose -5*d = -5*b - 35, -4*d + 4*b = -c*d - 16. Factor -d*w**4 - w**2 + 2*w**2 - 3*w**2 + 8*w**3.
-2*w**2*(w - 1)*(3*w - 1)
Suppose -d - 5*o - 11 = -3*d, -2*d - 4*o = -20. Suppose -3*l = -7*l + d. Suppose 0 - 1/3*z**l - 1/3*z = 0. Calculate z.
-1, 0
Let o(n) be the second derivative of 1/42*n**7 - 3/20*n**5 + 6*n + 0 - 5/12*n**4 + 0*n**2 - 1/3*n**3 + 1/30*n**6. Factor o(m).
m*(m - 2)*(m + 1)**3
Let u(i) = 16*i**2 - 36*i + 20. Let d(n) = 3*n**2 - 7*n + 4. Let s(h) = -11*d(h) + 2*u(h). Let v be s(3). Suppose -4/5*m - 2/5 - 2/5*m**v = 0. What is m?
-1
Let o be 2/(-6) + 11/(-3). Let v(j) = j**3 + 5*j**2 + 2*j - 5. Let h be v(o). Factor -2*m**h + 3*m**3 - 2*m**2 - 3*m**3.
-2*m**2*(m + 1)
Let k be (3/6 - -1) + 493/(-374). Factor -10/11*d**2 + 8/11*d**5 + 2/11*d**3 + 16/11*d**4 + 2/11 - k*d.
2*(d + 1)**3*(2*d - 1)**2/11
Factor 112/17*n - 32/17 - 50/17*n**2 + 6/17*n**3.
2*(n - 4)**2*(3*n - 1)/17
Suppose 6 = -164*i + 166*i. Let x(l) be the third derivative of -1/30*l**5 + 3*l**2 - 4/3*l**i + 0 + 0*l - 1/3*l**4. Factor x(u).
-2*(u + 2)**2
Let r be 4/(-3)*2*(-27)/288. What is b in 1/4*b**4 + 0 - r*b + 3/4*b**2 - 3/4*b**3 = 0?
0, 1
Suppose 0*n - 8 = -2*n. Let c(a) be the second derivative of 3*a**3 + 2*a**2 - a + 7/6*a**n + 0. Factor c(y).
2*(y + 1)*(7*y + 2)
Let z(v) be the first derivative of v**4/5 - 8*v**3/5 + 24*v**2/5 - 32*v/5 - 9. Factor z(h).
4*(h - 2)**3/5
Let d(c) = -c**2 + 10*c - 21. Let r be d(5). Let v(u) be the first derivative of 0*u**2 + 0*u + 2/21*u**6 - 2/21*u**3 - 2 - 2/7*u**5 + 2/7*u**r. Factor v(l).
2*l**2*(l - 1)**2*(2*l - 1)/7
Let s(c) = -2*c**3 + c**2 + c + 1. Let z be s(-1). Factor -3 - 12*t**3 + t + 3 + t - z*t**2 - 7*t**4.
-t*(t + 1)**2*(7*t - 2)
Find c, given that -550*c + 5*c**2 - 4*c**2 + 552*c - 3*c**3 = 0.
-2/3, 0, 1
Let y(c) be the third derivative of -c**8/3360 - c**7/1260 + c**4/24 + 4*c**2. Let l(o) be the second derivative of y(o). Find h, given that l(h) = 0.
-1, 0
Let c(v) be the second derivative of -3*v + 0 + 0*v**2 + 1/24*v**3 + 1/48*v**4. Factor c(d).
d*(d + 1)/4
Let a(y) be the third derivative of -1/30*y**5 + 0 + 0*y**3 + 1/105*y**7 + 1/60*y**6 + 2*y**2 + 0*y - 1/12*y**4. Find l, given that a(l) = 0.
-1, 0, 1
Let l = -33 + 35. Let g(c) be the first derivative of -1/5*c**l + 2/15*c**3 - 4/5*c + 1. Let g(r) = 0. What is r?
-1, 2
Let g(o) be the first derivative of o**4 + 4*o**3/3 + 6. Determine z so that g(z) = 0.
-1, 0
Factor 7*x - 4*x + 17*x + 3*x**2 + 8 + 9*x**2.
4*(x + 1)*(3*x + 2)
Let g(l) be the second derivative of l**7/21 - l**6/5 + 3