of r**6/144 + 119*r**5/180 + 58*r**4/3 - 32*r**3 - 50*r**2 - 3. Suppose m(n) = 0. What is n?
-24, 2/5
Let d(v) = -v**3 + 15*v**2 + 17*v - 16. Let c be d(16). Find n, given that -2/7*n**4 + c + 2/7*n**2 + 2/7*n**3 + 0*n - 2/7*n**5 = 0.
-1, 0, 1
Let a(z) = 11*z**2 + 42*z - 4. Let o be a(-4). Let i(m) be the third derivative of 1/32*m**o + 0 - 3*m**2 + 0*m - 1/12*m**3 - 1/240*m**5. Factor i(f).
-(f - 2)*(f - 1)/4
Let c be 0/(5/(-40)*-16). Factor 2/3*g - 2/3*g**2 + c.
-2*g*(g - 1)/3
Factor 3*n**3 - 11*n**3 - 131*n + 432 - 85*n + 36*n**2 + 6*n**3.
-2*(n - 6)**3
Suppose 4*w = 7 + 41. Suppose -2*k + 5*s + 3 = 0, -2*s - 7 = -3*k + 3*s. Let 20*l**4 - 4*l**3 + w*l**3 - 48*l**k = 0. What is l?
0, 2/7
Let l(v) be the first derivative of v**6/6 - v**5/5 - 3*v**4/4 + 5*v**3/3 - v**2 - 36. Factor l(x).
x*(x - 1)**3*(x + 2)
Let c(q) = -q**2 + 1. Let n(i) = 21*i**2 + 54*i - 30. Let z = 102 + -103. Let o(s) = z*n(s) - 6*c(s). Suppose o(h) = 0. What is h?
-4, 2/5
Let c(s) be the second derivative of 0 + 11*s - s**3 + 0*s**2 - 1/6*s**4. Solve c(h) = 0.
-3, 0
Let q = 61 - 39. Let 10 - q - 2*w**2 + 14 - 2*w**3 + 2*w = 0. What is w?
-1, 1
Suppose 5*h + 4*q - 4 = 0, -15*q = 4*h - 11*q. What is r in 8*r**2 + 44/7*r - h*r**5 - 16/7*r**3 - 64/7*r**4 + 8/7 = 0?
-1, -2/7, 1
Let s(k) be the first derivative of -8*k**5/5 - 27*k**4/2 - 36*k**3 - 27*k**2 + 8. Factor s(d).
-2*d*(d + 3)**2*(4*d + 3)
Suppose 70*v - 72*v + 14 = 0. Let m be 0/(7/v)*(1 + 0). What is k in 1/5*k + 1/5*k**5 + 4/5*k**4 + 6/5*k**3 + m + 4/5*k**2 = 0?
-1, 0
Let i(a) = -a**3 + a**2 - a + 3. Let g(o) = -o**2 - 1. Let y(v) = 6*g(v) + 2*i(v). Factor y(n).
-2*n*(n + 1)**2
Let c(o) = -8*o + 168. Let s be c(21). Factor 2/3*q + s + 2/3*q**2.
2*q*(q + 1)/3
Let m(j) be the first derivative of -2*j**2 - 1/3*j**3 + 16 - 4*j. Factor m(u).
-(u + 2)**2
Let b(w) be the third derivative of w**5/50 + 13*w**4/20 + 12*w**3/5 + 143*w**2. Suppose b(k) = 0. Calculate k.
-12, -1
Let z = 17 + -17. Let p(r) be the third derivative of -3*r**2 - 2*r**3 + z*r + r**4 - 1/4*r**5 + 1/40*r**6 + 0. Factor p(d).
3*(d - 2)**2*(d - 1)
Let f(q) be the second derivative of -3/5*q**2 + 1/10*q**3 - 18*q + 0 + 1/20*q**4. Factor f(o).
3*(o - 1)*(o + 2)/5
Factor 72 - 605*d + 30*d**2 - 2*d**3 + 5*d**3 + 689*d.
3*(d + 2)**2*(d + 6)
Let k = -1 - -1. Let c(a) be the first derivative of -131/22*a**4 + 1 - 21/11*a**6 + 316/55*a**5 + 80/33*a**3 + k*a - 4/11*a**2. Let c(p) = 0. Calculate p.
0, 2/9, 2/7, 1
Factor 8/7*a - 2/7*a**2 - 8/7.
-2*(a - 2)**2/7
Let o(c) be the first derivative of -3/4*c**4 - 7 + 4/5*c**5 - 1/3*c**3 + 0*c**2 + 0*c. Let o(u) = 0. Calculate u.
-1/4, 0, 1
Let p = -1592 - -12737/8. Let c(h) be the second derivative of 0*h**2 - h - 1/32*h**4 - p*h**3 + 0. Factor c(k).
-3*k*(k + 2)/8
Suppose -86908*s**3 + 55704*s**3 - 2048 - 37266*s**2 - 234*s**5 + 25856*s - 39374*s**2 + 65*s**5 - 4004*s**4 = 0. What is s?
-8, 2/13
Let z(v) be the first derivative of 0*v + 2/27*v**3 + 3 + 0*v**2. Factor z(t).
2*t**2/9
Suppose -626 + 584 = -21*v. Suppose -16 = -5*y + 4. Determine b, given that y*b**3 - 8*b + 0*b**3 - b**2 + 4*b**v + b**2 = 0.
-2, 0, 1
Let x = -903 + 903. Let q(t) be the first derivative of -12 + x*t + 3/8*t**2 + 1/2*t**3. Suppose q(v) = 0. What is v?
-1/2, 0
What is j in 4*j**4 + 4*j + 88346*j**2 + 4*j**4 - 4*j**3 - 88354*j**2 = 0?
-1, 0, 1/2, 1
Let a = -563 - -563. Factor a - 3/5*s**2 + 9/5*s.
-3*s*(s - 3)/5
Let s(r) = -2*r + 3. Let x be s(0). Let n(h) = h**3 - 2*h**2 - 2*h - 2. Let v be n(x). Find y such that -y**2 + v + 3*y - 1 - 2 = 0.
1, 2
Let c(m) = 3*m**3 + 21*m**2 - 22*m + 19. Let v be c(-8). Factor -4/11*t**v + 2/11*t**4 - 6/11*t**2 + 0 + 0*t.
2*t**2*(t - 3)*(t + 1)/11
Let p be (-2)/(-10)*(-27 + 37). Suppose -2/9*v**p + 2/3*v - 4/9 = 0. What is v?
1, 2
Factor 1/3*g**2 - 94/3*g + 2209/3.
(g - 47)**2/3
Let w(p) be the third derivative of p**8/70560 + p**7/2205 + 2*p**6/315 - p**5/60 - 10*p**2. Let j(v) be the third derivative of w(v). Factor j(b).
2*(b + 4)**2/7
Let u(v) = -2*v. Let m(t) = -5*t**2 - 235*t + 230. Let j(d) = m(d) - 5*u(d). Factor j(n).
-5*(n - 1)*(n + 46)
Factor 18*u**4 + 12168 + 0*u**4 + 159759*u**3 - 158379*u**3 + 25514*u**2 - 35880*u.
2*(u + 39)**2*(3*u - 2)**2
Solve -120*i - 5/2*i**3 - 160 - 30*i**2 = 0.
-4
Let m(s) = -2 + 0*s + 0 - s**2 - 8 + 16*s. Let n be m(6). Factor -6*i**2 + 2/5*i**3 - n + 30*i.
2*(i - 5)**3/5
Let g(o) = -3*o**4 - 2*o**2 + 5. Let b(u) be the third derivative of 0 - 1/60*u**5 - u**2 + 0*u + 0*u**4 + 1/6*u**3. Let v(l) = 5*b(l) - g(l). Factor v(j).
3*j**2*(j - 1)*(j + 1)
Let k(i) be the third derivative of 0*i + 0*i**5 + 1/264*i**8 + 33*i**2 - 1/330*i**6 + 0 + 0*i**3 + 0*i**4 - 1/231*i**7. Solve k(m) = 0.
-2/7, 0, 1
Let n(l) be the first derivative of -4*l**3/3 - 4*l**2 + 60*l + 153. Factor n(g).
-4*(g - 3)*(g + 5)
Let x(h) = h**3 - 21*h**2 + 101*h + 43. Let i be x(13). Factor 0 + 0*q - 6/5*q**3 + 1/2*q**i + 2/5*q**2.
q**2*(q - 2)*(5*q - 2)/10
Suppose -21 = 7*z, -4*p + 4*z + 19 = 3*z. Let 0*x + 16/5*x**2 - 8/5*x**3 + 0 - p*x**4 - 6/5*x**5 = 0. What is x?
-2, 0, 2/3
Let t(p) = -3*p + 44. Let y be t(14). Suppose -n**2 - 2*n**y - 48 - 10*n - 8*n - 6*n = 0. What is n?
-4
Let x(n) be the second derivative of n**8/6720 + n**7/2520 - n**6/720 - n**5/120 - 5*n**4/4 - 4*n. Let s(k) be the third derivative of x(k). Factor s(w).
(w - 1)*(w + 1)**2
Let c(p) = p**3 - 2*p + 14. Let x be c(0). Let k be 264/140 + ((-18)/x - -1). Determine y so that k*y**4 - 6/5*y**5 + 0*y**2 + 0*y - 2/5*y**3 + 0 = 0.
0, 1/3, 1
Let y = 1/652 - -1301/1956. Find g, given that y*g**5 + 0*g**4 + 0*g + 0 - 2/3*g**3 + 0*g**2 = 0.
-1, 0, 1
Let c(f) be the third derivative of -1/24*f**4 - 1/336*f**8 + 1/60*f**6 - 1/210*f**7 + 1/30*f**5 + 0 - 1/6*f**3 + 0*f + 16*f**2. Factor c(z).
-(z - 1)**2*(z + 1)**3
Factor 5*q**2 - 2123*q**4 + 2124*q**4 + 0*q**3 - 4*q**3 - 2*q.
q*(q - 2)*(q - 1)**2
Let h be (-26)/(-22) + 6 + -7. Solve 4/11*m - 2/11*m**3 + 0 - h*m**2 = 0.
-2, 0, 1
Let q(r) be the second derivative of r**7/280 + r**6/60 + r**5/40 - 7*r**3/2 - 35*r. Let y(d) be the second derivative of q(d). Solve y(f) = 0.
-1, 0
Find l, given that -1/11*l + 1/11*l**2 - 2/11 = 0.
-1, 2
Let d(r) be the first derivative of -r**7/42 - r**6/15 + 3*r**5/20 - 6*r + 31. Let w(h) be the first derivative of d(h). Factor w(z).
-z**3*(z - 1)*(z + 3)
Let l(r) be the first derivative of 4*r**6 + 108*r**5/5 + 243*r**4/8 + 14*r**3 + 9*r**2/4 - 44. Solve l(f) = 0 for f.
-3, -1, -1/4, 0
Let i(c) = 10*c**4 + 386*c**3 - 28812*c**2 + 941192*c - 11529608. Let m(h) = -2*h**4 + h**3 + 1. Let f(r) = -i(r) - 6*m(r). Determine o, given that f(o) = 0.
49
Let u(d) be the first derivative of -1/15*d**3 - 2/5*d - 3/10*d**2 - 2. Factor u(j).
-(j + 1)*(j + 2)/5
Determine a so that 11 + 2*a**2 + 0*a - 16*a**2 + 2*a**3 - 4*a**3 + 3 + 2*a = 0.
-7, -1, 1
Let z(n) be the third derivative of -n**5/210 + 4*n**4/21 + 19*n**3/7 - 681*n**2. Factor z(u).
-2*(u - 19)*(u + 3)/7
Let t be (-20)/(-190) + (-34754)/(-152). Let n = t + -224. What is i in 3/4 + 9/4*i**3 + 33/4*i**2 + n*i = 0?
-3, -1/3
Factor -206*v + 1980*v**2 - 1995*v**3 - 3 + 3 - 199*v - 425*v**3.
-5*v*(22*v - 9)**2
Let t(o) be the second derivative of -o**5/26 + 43*o**4/78 - 22*o**3/39 - 16*o**2/13 + 114*o. Let t(s) = 0. Calculate s.
-2/5, 1, 8
Let h = -116 - -95. Let w = h - -23. Determine y so that 8/3*y**4 - 4*y**w - 2/3*y + 8/3*y**3 - 2*y**5 + 4/3 = 0.
-1, -2/3, 1
Let z(k) be the third derivative of 5*k**8/112 - 4*k**7/21 - 5*k**6/4 - 2*k**5 - 25*k**4/24 + 398*k**2. Solve z(m) = 0 for m.
-1, -1/3, 0, 5
Let 357*q**3 - 181*q**3 - 9 + 15*q - 179*q**3 - 3*q**2 = 0. Calculate q.
-3, 1
What is b in -3 + 8*b**2 + 3/2*b**3 - 13/2*b = 0?
-6, -1/3, 1
Let g = -10113 - -30341/3. Factor -16/3 + g*k**2 - 4/3*k.
2*(k - 4)*(k + 2)/3
Let q = -1285/4 + 11581/36. Let z(o) be the second derivative of 0 + 13*o - q*o**3 + 1/9*o**4 - 2*o**2. Suppose z(c) = 0. What is c?
-1, 3
Let z(t) be the second derivative of t**3/6 + t**2/2 + 6*t. Let n be z(4). Find c such that -3*c - n*c**2 - c**2 + 3*c**2 = 0.
-1, 0
Let f be -24 - (-1740)/156 - -13. Find y, given that 2/13 + 0*y - f*y**2 = 0.
-1, 1
Let m = -780 - -782. Determine x, given that 8/7*x**3 + 2/7*x**4 + 12/7*x**m + 8/7*x + 2/7 = 0.
-1
Let q be (-2)/7 - 32/280 - 144/(-60). Find k, given that -9/4