of n(u). Factor y(m).
-4*(m + 2)**2/3
Suppose -c = 4*w - 139, -c + 202 = -3*w + 35. Factor -7*n**2 - 13*n**2 + c*n**5 - 160*n**5 + 15*n**4.
-5*n**2*(n - 2)**2*(n + 1)
Let q be (-4)/(-14) + (-112)/(-980). Let c(d) be the first derivative of 0*d + 0*d**4 + q*d**3 - 2/25*d**5 + 3 + 2/5*d**2. Solve c(s) = 0.
-1, 0, 2
Factor 4/5*z**3 + 8/5*z**2 + 0 - 12/5*z.
4*z*(z - 1)*(z + 3)/5
Suppose -4*p + 6*u + 52 = 2*u, 4*u = -2*p + 20. Suppose -2*k + 16 = p. Find d such that 0 + 1/2*d**5 + 3*d**3 + 1/2*d - 2*d**2 - k*d**4 = 0.
0, 1
Let k(b) be the second derivative of 0 + 5/6*b**3 - 1/4*b**5 + 5*b + 5/6*b**4 - 5*b**2. Determine r, given that k(r) = 0.
-1, 1, 2
Let i be 5/2 - ((-12 - 12) + 26). Factor 0*w**3 + 0*w + 0 - i*w**2 + 1/2*w**4.
w**2*(w - 1)*(w + 1)/2
Let o(p) be the second derivative of -5/66*p**4 + 3/110*p**5 + 44*p + 0*p**2 + 1/165*p**6 + 2/33*p**3 + 0 - 1/231*p**7. Factor o(l).
-2*l*(l - 1)**3*(l + 2)/11
Let n(x) = -x**2 - 2*x + 15. Let o be n(-6). Let p(y) = -6*y**3 - 9*y**2 + 33. Let w(c) = 3*c**3 + 4*c**2 - 17. Let b(d) = o*w(d) - 5*p(d). Factor b(f).
3*(f - 1)*(f + 2)**2
Let y(l) = -584*l**2 - 68*l - 8. Let h(b) = -2918*b**2 - 340*b - 38. Let n(r) = 6*h(r) - 28*y(r). Factor n(i).
-4*(17*i + 1)**2
Let s(v) be the first derivative of -5*v**6/6 + 11*v**5/5 + 33*v**4/4 + 13*v**3/3 - 2*v**2 + 832. Solve s(r) = 0.
-1, 0, 1/5, 4
Let i be 115/25 + 4/10. Suppose i*n + 20 = 0, 3*h + 10 = -0*n - 4*n. Factor -2*k**3 + 3 + 0 - 3 + h*k.
-2*k*(k - 1)*(k + 1)
Suppose 112/11*r**2 + 52/11*r**3 + 28/11 - 2/11*r**5 + 94/11*r + 4/11*r**4 = 0. Calculate r.
-2, -1, 7
Let j(q) be the third derivative of q**6/1080 + q**5/240 + q**4/144 + 11*q**3/6 + 12*q**2. Let a(l) be the first derivative of j(l). Factor a(f).
(f + 1)*(2*f + 1)/6
Suppose 2*v - 69 = -5. Let k = 32 - v. Determine r, given that 0 + k*r + 1/4*r**3 - 1/2*r**2 = 0.
0, 2
Let m(x) be the first derivative of 1/18*x**4 + 0*x - 1/9*x**2 + 7 - 2/45*x**5 + 2/27*x**3. Determine z so that m(z) = 0.
-1, 0, 1
Let x(i) be the second derivative of -i**7/357 + 7*i**6/255 - 13*i**5/170 - i**4/34 + 6*i**3/17 - 106*i. What is g in x(g) = 0?
-1, 0, 2, 3
Let t = -67 + 97. Determine n, given that 6*n**5 - 10*n + t*n**3 + 23*n**4 + 4*n**5 - 11*n**4 + 23*n**4 - 5*n**2 = 0.
-2, -1, 0, 1/2
Let i(l) be the second derivative of l**4/42 + l**3/3 + 12*l**2/7 - 2*l + 38. Let i(z) = 0. What is z?
-4, -3
Factor 5 + 1/2*o**2 + 47/6*o.
(o + 15)*(3*o + 2)/6
Let n(o) be the second derivative of o**7/126 + 4*o**6/45 + 2*o**5/5 + 17*o**4/18 + 23*o**3/18 + o**2 + 2*o - 19. Suppose n(w) = 0. What is w?
-3, -2, -1
Let v(u) be the third derivative of 0 - 25/12*u**4 - 20/3*u**3 + 6*u**2 + 1/4*u**5 + 0*u. What is m in v(m) = 0?
-2/3, 4
Let z(u) be the third derivative of -u**6/90 - u**5/60 + u**4/72 - 133*u**2 + 1. Suppose z(j) = 0. Calculate j.
-1, 0, 1/4
Let r be 9*(-4)/(-81)*9/14. Let -4/7*u**2 + 2/7*u - r*u**3 + 4/7 = 0. What is u?
-2, -1, 1
Let z(j) be the second derivative of j**4/4 + 33*j**3/2 - 51*j**2 - 146*j. Factor z(y).
3*(y - 1)*(y + 34)
Let b = -10712 + 32138/3. Factor -b*m**4 + 2/3*m**5 + 2/3*m**2 - 2/3*m**3 + 0*m + 0.
2*m**2*(m - 1)**2*(m + 1)/3
Let u be -4*(-2 + 3 - (-3)/(-2)). Factor -28*b**4 + 64 - 32 - 32 + 3*b**2 + u*b - 27*b**3.
-b*(b + 1)*(4*b + 1)*(7*b - 2)
Suppose -u = 3*b - 9 + 3, -3*b = -3. Determine l so that -10/17*l**4 + 4/17*l - 14/17*l**2 + 0 + 18/17*l**u + 2/17*l**5 = 0.
0, 1, 2
Let i be 2/(-4) - 207/184. Let l = 15/8 + i. Factor 0 + 0*y + l*y**2 - y**3 + 3/4*y**4.
y**2*(y - 1)*(3*y - 1)/4
Solve -2/5 - 2/5*m - 1/10*m**2 = 0.
-2
Let z be 0 + 1 + 5 + -2. Find f such that 330*f**3 - 6*f**4 + z*f**4 - 332*f**3 + 4*f**2 = 0.
-2, 0, 1
Let y = -4145 + 4148. Factor -2/5*q + 2/5*q**y - 2/5 + 2/5*q**2.
2*(q - 1)*(q + 1)**2/5
Let g(a) be the second derivative of -a**4/28 + 5*a**3/14 - 6*a**2/7 - 84*a. Determine w so that g(w) = 0.
1, 4
Let z(v) be the second derivative of 7*v**4/32 - v**3 + 27*v**2/16 - 447*v. Factor z(s).
3*(s - 1)*(7*s - 9)/8
Factor 80 - 2/5*i**3 + 22*i - 4/5*i**2.
-2*(i - 8)*(i + 5)**2/5
Let y(l) be the second derivative of l**6/25 + 61*l**5/25 - 169*l**4/30 - 8*l**3/3 + 84*l**2/5 + 2*l + 71. Let y(x) = 0. What is x?
-42, -2/3, 1
Let q(n) be the second derivative of 0 - 1/6*n**4 + n**2 + 0*n**3 + 4*n. Factor q(d).
-2*(d - 1)*(d + 1)
Let q(h) be the first derivative of 1/18*h**3 - 1/6*h**2 - 1/2*h - 19. Factor q(i).
(i - 3)*(i + 1)/6
Let l(s) be the third derivative of s**5/40 - 15*s**4/4 + 59*s**3/4 + 2*s**2 - 147*s. Factor l(t).
3*(t - 59)*(t - 1)/2
Let n(t) be the second derivative of 0 - 1/63*t**7 - t + 1/9*t**3 + 0*t**5 + 0*t**2 + 2/45*t**6 - 1/9*t**4. Factor n(s).
-2*s*(s - 1)**3*(s + 1)/3
Let x(w) be the third derivative of -w**6/300 - w**5/15 + 23*w**4/60 - 4*w**3/5 + 2*w**2 + 180. Factor x(z).
-2*(z - 1)**2*(z + 12)/5
Suppose -3*j = -0*j - 9. Let m(i) be the first derivative of -6 - i**3 - i**3 - 3*i + j*i**2 - i**3 + 2*i**3. Factor m(o).
-3*(o - 1)**2
Let t(r) be the first derivative of -r**3/3 + 4*r**2 - 5*r + 92. Let v be t(7). Factor 1/4*u**5 - 1/4*u**3 + 0*u + 0 - 1/4*u**4 + 1/4*u**v.
u**2*(u - 1)**2*(u + 1)/4
Factor -113*g + 20*g**3 - 4303*g**2 + 56 + 4415*g**2 - 75*g.
4*(g - 1)*(g + 7)*(5*g - 2)
Let j(h) be the third derivative of h**5/300 + h**4/24 - h**3/5 + 2*h**2 + 14*h. Suppose j(k) = 0. Calculate k.
-6, 1
Let q(y) be the third derivative of -y**8/168 + y**7/105 + y**6/60 - y**5/30 - 104*y**2. What is p in q(p) = 0?
-1, 0, 1
Let j(s) = -s**4 + 6*s**3 - 5*s**2 - 20*s + 2. Let x(b) = 7 - 16*b**2 - 69*b**3 - 61*b + 41*b**3 - 4*b**4 + 47*b**3. Let f(i) = 7*j(i) - 2*x(i). Factor f(h).
h*(h - 2)*(h + 3)**2
Suppose 0 = r - 3, 4*z - r + 6*r = 35. Let v(m) be the first derivative of 2*m**3 + 24*m - 18*m**2 + 9/4*m**4 - 3/5*m**z + 5. Factor v(c).
-3*(c - 2)**2*(c - 1)*(c + 2)
Let v be (6 - (-39)/(-6))*0. Let q(x) be the third derivative of 1/10*x**5 + 0*x - x**3 + 1/10*x**6 - 6*x**2 + 0*x**7 - 1/112*x**8 + v - 3/8*x**4. Factor q(y).
-3*(y - 2)*(y - 1)*(y + 1)**3
Let f(u) be the first derivative of -u**6/8 + 3*u**5/5 - 9*u**4/16 - u**3 + 3*u**2/2 + 17. Determine c, given that f(c) = 0.
-1, 0, 1, 2
Suppose 0*l = -4*l - 6*l. Let x(c) = -c**2 - 13*c - 10. Let z be x(-12). What is h in -2/11*h + 2/11*h**z + l = 0?
0, 1
Let w be 1/((-7)/2)*(-4375)/625. Factor 2*f - 8/5*f**w + 0 - 2/5*f**3.
-2*f*(f - 1)*(f + 5)/5
Let x(o) be the first derivative of 2*o**5/35 - 5*o**4/7 + 6*o**3/7 - 85. Factor x(m).
2*m**2*(m - 9)*(m - 1)/7
Let s = -8140 + 8143. Factor 12/5*k + 2/5*k**s + 0 + 2*k**2.
2*k*(k + 2)*(k + 3)/5
Let r(q) be the first derivative of -q**6/2 - 12*q**5/5 + 3*q**4/2 + 8*q**3 - 3*q**2/2 - 12*q - 775. Find s such that r(s) = 0.
-4, -1, 1
Let u(j) be the third derivative of -j**7/70 + j**6/20 + 7*j**5/20 - j**4 - 6*j**3 - 112*j**2. Solve u(s) = 0.
-2, -1, 2, 3
Let j = 124 - 124. Suppose j*s = 2*o - 2*s - 4, -5*o = s - 16. What is p in 2/13*p**2 - 4/13*p + 10/13*p**o + 0 + 4/13*p**4 = 0?
-2, -1, 0, 1/2
Find k such that 9 + 75/2*k - 27/2*k**2 = 0.
-2/9, 3
Let r(u) = u**4 + 5*u**3 + 3*u**2 - 3*u. Let b(a) = 4*a**4 + 17*a**3 + 9*a**2 - 10*a + 1. Let c(q) = 4*b(q) - 14*r(q). Factor c(s).
2*(s - 2)*(s - 1)*(s + 1)**2
Let u(i) be the second derivative of 0 + 11*i + 1/96*i**4 + 5/48*i**3 + 1/4*i**2. Factor u(t).
(t + 1)*(t + 4)/8
Let x be 2/6*1 - (-6)/9. Let l be 8/(-14) + x - 31/217. Solve l*v**2 + 0 + 0*v + 2/7*v**3 = 0.
-1, 0
Let z be 5*((-69)/15 + -5). Let r be -2 + (1/(-3))/(8/z). Suppose r*a + 0 - 1/3*a**2 - 1/6*a**3 = 0. Calculate a.
-2, 0
Let x(z) be the first derivative of -1/3*z**3 - z - z**2 + 28. Factor x(k).
-(k + 1)**2
Let o(z) be the third derivative of z**6/360 + 13*z**5/45 - 107*z**4/72 + 3*z**3 - 233*z**2. Factor o(b).
(b - 1)**2*(b + 54)/3
Let q(t) be the second derivative of 325/18*t**4 - 125/2*t**3 + 625/6*t**2 + 12*t - 17/6*t**5 + 0 - 1/126*t**7 + 7/30*t**6. Factor q(z).
-(z - 5)**4*(z - 1)/3
Factor 0 + c**3 + 4/3*c**2 - 4/3*c**4 + 1/3*c**5 - 4/3*c.
c*(c - 2)**2*(c - 1)*(c + 1)/3
Let u(x) = -11*x - 473. Let b be u(-43). Factor -4/5*y + b - 4/5*y**2 - 1/5*y**3.
-y*(y + 2)**2/5
Let g(v) be the first derivative of -3*v**5/20 - 3*v**4 + 35*v**3/4 - 27*v**2/4 - 70. Factor g(f).
-3*f*(f - 1)**2*(f + 18)/4
Let h(z) be the second derivative of -z**6/270 - 7*z**5/540 - z**4/108 + 13*z**3/6